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Finding the Fourth Proportional to 937.47, 1,406.26 and 474.76

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Solution

The fourth proportional to 937.47, 1,406.26 and 474.76 is: 712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.47 : 1,406.26 = 474.76 : x
  2. Step 2: Convert to fraction form
    937.47/1,406.26 = 474.76/x
  3. Step 3: Cross multiply
    937.47x = 1,406.26 × 474.76
  4. Step 4: Simplify right side
    937.47x = 667,638.35
  5. Step 5: Solve for x
    x = 667,638.35/937.47
  6. Step 6: Final answer
    x = 712.17

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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.