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Finding the Fourth Proportional to 937, 1,406.58 and 424

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Solution

The fourth proportional to 937, 1,406.58 and 424 is: 636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    937 : 1,406.58 = 424 : x
  2. Step 2: Convert to fraction form
    937/1,406.58 = 424/x
  3. Step 3: Cross multiply
    937x = 1,406.58 × 424
  4. Step 4: Simplify right side
    937x = 596,389.92
  5. Step 5: Solve for x
    x = 596,389.92/937
  6. Step 6: Final answer
    x = 636.49

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Why These Related Problems?

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