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Finding the Fourth Proportional to 742.64, 1,109.16 and 588.74

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Solution

The fourth proportional to 742.64, 1,109.16 and 588.74 is: 879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.64 : 1,109.16 = 588.74 : x
  2. Step 2: Convert to fraction form
    742.64/1,109.16 = 588.74/x
  3. Step 3: Cross multiply
    742.64x = 1,109.16 × 588.74
  4. Step 4: Simplify right side
    742.64x = 653,001.31
  5. Step 5: Solve for x
    x = 653,001.31/742.64
  6. Step 6: Final answer
    x = 879.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.