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Finding the Fourth Proportional to 1,125.58, 1,687.87 and 509.26

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Solution

The fourth proportional to 1,125.58, 1,687.87 and 509.26 is: 763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.58 : 1,687.87 = 509.26 : x
  2. Step 2: Convert to fraction form
    1,125.58/1,687.87 = 509.26/x
  3. Step 3: Cross multiply
    1,125.58x = 1,687.87 × 509.26
  4. Step 4: Simplify right side
    1,125.58x = 859,564.68
  5. Step 5: Solve for x
    x = 859,564.68/1,125.58
  6. Step 6: Final answer
    x = 763.66

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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.