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Finding the Fourth Proportional to 742.18, 1,113.27 and 467.59

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Solution

The fourth proportional to 742.18, 1,113.27 and 467.59 is: 701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.18 : 1,113.27 = 467.59 : x
  2. Step 2: Convert to fraction form
    742.18/1,113.27 = 467.59/x
  3. Step 3: Cross multiply
    742.18x = 1,113.27 × 467.59
  4. Step 4: Simplify right side
    742.18x = 520,546.02
  5. Step 5: Solve for x
    x = 520,546.02/742.18
  6. Step 6: Final answer
    x = 701.38

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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.