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Finding the Fourth Proportional to 1,129.26, 1,558.37 and 631.90

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Solution

The fourth proportional to 1,129.26, 1,558.37 and 631.90 is: 872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.26 : 1,558.37 = 631.90 : x
  2. Step 2: Convert to fraction form
    1,129.26/1,558.37 = 631.90/x
  3. Step 3: Cross multiply
    1,129.26x = 1,558.37 × 631.90
  4. Step 4: Simplify right side
    1,129.26x = 984,734.00
  5. Step 5: Solve for x
    x = 984,734.00/1,129.26
  6. Step 6: Final answer
    x = 872.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.