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Finding the Fourth Proportional to 1,125.84, 1,687.26 and 509.43

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Solution

The fourth proportional to 1,125.84, 1,687.26 and 509.43 is: 763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.84 : 1,687.26 = 509.43 : x
  2. Step 2: Convert to fraction form
    1,125.84/1,687.26 = 509.43/x
  3. Step 3: Cross multiply
    1,125.84x = 1,687.26 × 509.43
  4. Step 4: Simplify right side
    1,125.84x = 859,540.86
  5. Step 5: Solve for x
    x = 859,540.86/1,125.84
  6. Step 6: Final answer
    x = 763.47

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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.