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Finding the Fourth Proportional to 966.30, 1,333.47 and 524.19

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Solution

The fourth proportional to 966.30, 1,333.47 and 524.19 is: 723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.30 : 1,333.47 = 524.19 : x
  2. Step 2: Convert to fraction form
    966.30/1,333.47 = 524.19/x
  3. Step 3: Cross multiply
    966.30x = 1,333.47 × 524.19
  4. Step 4: Simplify right side
    966.30x = 698,998.61
  5. Step 5: Solve for x
    x = 698,998.61/966.30
  6. Step 6: Final answer
    x = 723.38

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.