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Finding the Fourth Proportional to 1,531.97, 2,298.26 and 558.75

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Solution

The fourth proportional to 1,531.97, 2,298.26 and 558.75 is: 838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.97 : 2,298.26 = 558.75 : x
  2. Step 2: Convert to fraction form
    1,531.97/2,298.26 = 558.75/x
  3. Step 3: Cross multiply
    1,531.97x = 2,298.26 × 558.75
  4. Step 4: Simplify right side
    1,531.97x = 1,284,152.78
  5. Step 5: Solve for x
    x = 1,284,152.78/1,531.97
  6. Step 6: Final answer
    x = 838.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.