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Finding the Fourth Proportional to 937.74, 1,406.62 and 497.92

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Solution

The fourth proportional to 937.74, 1,406.62 and 497.92 is: 746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.74 : 1,406.62 = 497.92 : x
  2. Step 2: Convert to fraction form
    937.74/1,406.62 = 497.92/x
  3. Step 3: Cross multiply
    937.74x = 1,406.62 × 497.92
  4. Step 4: Simplify right side
    937.74x = 700,384.23
  5. Step 5: Solve for x
    x = 700,384.23/937.74
  6. Step 6: Final answer
    x = 746.89

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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.