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Finding the Fourth Proportional to 934.59, 1,400.64 and 472.71

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Solution

The fourth proportional to 934.59, 1,400.64 and 472.71 is: 708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.59 : 1,400.64 = 472.71 : x
  2. Step 2: Convert to fraction form
    934.59/1,400.64 = 472.71/x
  3. Step 3: Cross multiply
    934.59x = 1,400.64 × 472.71
  4. Step 4: Simplify right side
    934.59x = 662,096.53
  5. Step 5: Solve for x
    x = 662,096.53/934.59
  6. Step 6: Final answer
    x = 708.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.