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Finding the Fourth Proportional to 937.22, 1,403.21 and 497.48

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Solution

The fourth proportional to 937.22, 1,403.21 and 497.48 is: 744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.22 : 1,403.21 = 497.48 : x
  2. Step 2: Convert to fraction form
    937.22/1,403.21 = 497.48/x
  3. Step 3: Cross multiply
    937.22x = 1,403.21 × 497.48
  4. Step 4: Simplify right side
    937.22x = 698,068.91
  5. Step 5: Solve for x
    x = 698,068.91/937.22
  6. Step 6: Final answer
    x = 744.83

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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.