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Finding the Fourth Proportional to 735.61, 1,102.38 and 461.55

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Solution

The fourth proportional to 735.61, 1,102.38 and 461.55 is: 691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.61 : 1,102.38 = 461.55 : x
  2. Step 2: Convert to fraction form
    735.61/1,102.38 = 461.55/x
  3. Step 3: Cross multiply
    735.61x = 1,102.38 × 461.55
  4. Step 4: Simplify right side
    735.61x = 508,803.59
  5. Step 5: Solve for x
    x = 508,803.59/735.61
  6. Step 6: Final answer
    x = 691.68

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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.