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Finding the Fourth Proportional to 937.14, 1,405.74 and 498.24

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Solution

The fourth proportional to 937.14, 1,405.74 and 498.24 is: 747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.14 : 1,405.74 = 498.24 : x
  2. Step 2: Convert to fraction form
    937.14/1,405.74 = 498.24/x
  3. Step 3: Cross multiply
    937.14x = 1,405.74 × 498.24
  4. Step 4: Simplify right side
    937.14x = 700,395.90
  5. Step 5: Solve for x
    x = 700,395.90/937.14
  6. Step 6: Final answer
    x = 747.38

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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.