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Finding the Fourth Proportional to 1,041.52, 1,562.26 and 425.08

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Solution

The fourth proportional to 1,041.52, 1,562.26 and 425.08 is: 637.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.52 : 1,562.26 = 425.08 : x
  2. Step 2: Convert to fraction form
    1,041.52/1,562.26 = 425.08/x
  3. Step 3: Cross multiply
    1,041.52x = 1,562.26 × 425.08
  4. Step 4: Simplify right side
    1,041.52x = 664,085.07
  5. Step 5: Solve for x
    x = 664,085.07/1,041.52
  6. Step 6: Final answer
    x = 637.61

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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.