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Finding the Fourth Proportional to 1,132.90, 1,699.26 and 439.48

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Solution

The fourth proportional to 1,132.90, 1,699.26 and 439.48 is: 659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.90 : 1,699.26 = 439.48 : x
  2. Step 2: Convert to fraction form
    1,132.90/1,699.26 = 439.48/x
  3. Step 3: Cross multiply
    1,132.90x = 1,699.26 × 439.48
  4. Step 4: Simplify right side
    1,132.90x = 746,790.78
  5. Step 5: Solve for x
    x = 746,790.78/1,132.90
  6. Step 6: Final answer
    x = 659.19

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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.