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Finding the Fourth Proportional to 938.47, 1,406.35 and 689.72

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Solution

The fourth proportional to 938.47, 1,406.35 and 689.72 is: 1,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.47 : 1,406.35 = 689.72 : x
  2. Step 2: Convert to fraction form
    938.47/1,406.35 = 689.72/x
  3. Step 3: Cross multiply
    938.47x = 1,406.35 × 689.72
  4. Step 4: Simplify right side
    938.47x = 969,987.72
  5. Step 5: Solve for x
    x = 969,987.72/938.47
  6. Step 6: Final answer
    x = 1,033.58

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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.