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Finding the Fourth Proportional to 946.66, 1,306.45 and 527.11

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Solution

The fourth proportional to 946.66, 1,306.45 and 527.11 is: 727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.66 : 1,306.45 = 527.11 : x
  2. Step 2: Convert to fraction form
    946.66/1,306.45 = 527.11/x
  3. Step 3: Cross multiply
    946.66x = 1,306.45 × 527.11
  4. Step 4: Simplify right side
    946.66x = 688,640.25
  5. Step 5: Solve for x
    x = 688,640.25/946.66
  6. Step 6: Final answer
    x = 727.44

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