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Finding the Fourth Proportional to 1,532.52, 2,299.26 and 558.72

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Solution

The fourth proportional to 1,532.52, 2,299.26 and 558.72 is: 838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.52 : 2,299.26 = 558.72 : x
  2. Step 2: Convert to fraction form
    1,532.52/2,299.26 = 558.72/x
  3. Step 3: Cross multiply
    1,532.52x = 2,299.26 × 558.72
  4. Step 4: Simplify right side
    1,532.52x = 1,284,642.55
  5. Step 5: Solve for x
    x = 1,284,642.55/1,532.52
  6. Step 6: Final answer
    x = 838.25

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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.