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Finding the Fourth Proportional to 966.83, 1,334.23 and 524.75

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Solution

The fourth proportional to 966.83, 1,334.23 and 524.75 is: 724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.83 : 1,334.23 = 524.75 : x
  2. Step 2: Convert to fraction form
    966.83/1,334.23 = 524.75/x
  3. Step 3: Cross multiply
    966.83x = 1,334.23 × 524.75
  4. Step 4: Simplify right side
    966.83x = 700,127.90
  5. Step 5: Solve for x
    x = 700,127.90/966.83
  6. Step 6: Final answer
    x = 724.15

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Double scale
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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.