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Finding the Fourth Proportional to 735.60, 1,101.24 and 460.83

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Solution

The fourth proportional to 735.60, 1,101.24 and 460.83 is: 689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.60 : 1,101.24 = 460.83 : x
  2. Step 2: Convert to fraction form
    735.60/1,101.24 = 460.83/x
  3. Step 3: Cross multiply
    735.60x = 1,101.24 × 460.83
  4. Step 4: Simplify right side
    735.60x = 507,484.43
  5. Step 5: Solve for x
    x = 507,484.43/735.60
  6. Step 6: Final answer
    x = 689.89

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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.