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Finding the Fourth Proportional to 946.97, 1,306.80 and 527.35

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Solution

The fourth proportional to 946.97, 1,306.80 and 527.35 is: 727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.97 : 1,306.80 = 527.35 : x
  2. Step 2: Convert to fraction form
    946.97/1,306.80 = 527.35/x
  3. Step 3: Cross multiply
    946.97x = 1,306.80 × 527.35
  4. Step 4: Simplify right side
    946.97x = 689,136.10
  5. Step 5: Solve for x
    x = 689,136.10/946.97
  6. Step 6: Final answer
    x = 727.73

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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.