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Finding the Fourth Proportional to 937, 1,406.10 and 424

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Solution

The fourth proportional to 937, 1,406.10 and 424 is: 636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    937 : 1,406.10 = 424 : x
  2. Step 2: Convert to fraction form
    937/1,406.10 = 424/x
  3. Step 3: Cross multiply
    937x = 1,406.10 × 424
  4. Step 4: Simplify right side
    937x = 596,186.40
  5. Step 5: Solve for x
    x = 596,186.40/937
  6. Step 6: Final answer
    x = 636.27

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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.