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Finding the Fourth Proportional to 946.91, 1,306.77 and 527.24

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Solution

The fourth proportional to 946.91, 1,306.77 and 527.24 is: 727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.91 : 1,306.77 = 527.24 : x
  2. Step 2: Convert to fraction form
    946.91/1,306.77 = 527.24/x
  3. Step 3: Cross multiply
    946.91x = 1,306.77 × 527.24
  4. Step 4: Simplify right side
    946.91x = 688,981.41
  5. Step 5: Solve for x
    x = 688,981.41/946.91
  6. Step 6: Final answer
    x = 727.61

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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.