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Finding the Fourth Proportional to 1,126.08, 1,687.59 and 432.09

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Solution

The fourth proportional to 1,126.08, 1,687.59 and 432.09 is: 647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.08 : 1,687.59 = 432.09 : x
  2. Step 2: Convert to fraction form
    1,126.08/1,687.59 = 432.09/x
  3. Step 3: Cross multiply
    1,126.08x = 1,687.59 × 432.09
  4. Step 4: Simplify right side
    1,126.08x = 729,190.76
  5. Step 5: Solve for x
    x = 729,190.76/1,126.08
  6. Step 6: Final answer
    x = 647.55

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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.