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Finding the Fourth Proportional to 966.98, 1,334.44 and 524.89

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Solution

The fourth proportional to 966.98, 1,334.44 and 524.89 is: 724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.98 : 1,334.44 = 524.89 : x
  2. Step 2: Convert to fraction form
    966.98/1,334.44 = 524.89/x
  3. Step 3: Cross multiply
    966.98x = 1,334.44 × 524.89
  4. Step 4: Simplify right side
    966.98x = 700,424.91
  5. Step 5: Solve for x
    x = 700,424.91/966.98
  6. Step 6: Final answer
    x = 724.34

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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.