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Finding the Fourth Proportional to 735.60, 1,103.17 and 588.12

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Solution

The fourth proportional to 735.60, 1,103.17 and 588.12 is: 882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.60 : 1,103.17 = 588.12 : x
  2. Step 2: Convert to fraction form
    735.60/1,103.17 = 588.12/x
  3. Step 3: Cross multiply
    735.60x = 1,103.17 × 588.12
  4. Step 4: Simplify right side
    735.60x = 648,796.34
  5. Step 5: Solve for x
    x = 648,796.34/735.60
  6. Step 6: Final answer
    x = 882.00

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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.