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Finding the Fourth Proportional to 884.60, 1,325.10 and 499.04

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Solution

The fourth proportional to 884.60, 1,325.10 and 499.04 is: 747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.60 : 1,325.10 = 499.04 : x
  2. Step 2: Convert to fraction form
    884.60/1,325.10 = 499.04/x
  3. Step 3: Cross multiply
    884.60x = 1,325.10 × 499.04
  4. Step 4: Simplify right side
    884.60x = 661,277.90
  5. Step 5: Solve for x
    x = 661,277.90/884.60
  6. Step 6: Final answer
    x = 747.54

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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.