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Finding the Fourth Proportional to 1,657.52, 2,486.01 and 503

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Solution

The fourth proportional to 1,657.52, 2,486.01 and 503 is: 754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.52 : 2,486.01 = 503 : x
  2. Step 2: Convert to fraction form
    1,657.52/2,486.01 = 503/x
  3. Step 3: Cross multiply
    1,657.52x = 2,486.01 × 503
  4. Step 4: Simplify right side
    1,657.52x = 1,250,463.03
  5. Step 5: Solve for x
    x = 1,250,463.03/1,657.52
  6. Step 6: Final answer
    x = 754.42

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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.