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Finding the Fourth Proportional to 1,637, 2,455.50 and 725

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Solution

The fourth proportional to 1,637, 2,455.50 and 725 is: 1,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637 : 2,455.50 = 725 : x
  2. Step 2: Convert to fraction form
    1,637/2,455.50 = 725/x
  3. Step 3: Cross multiply
    1,637x = 2,455.50 × 725
  4. Step 4: Simplify right side
    1,637x = 1,780,237.50
  5. Step 5: Solve for x
    x = 1,780,237.50/1,637
  6. Step 6: Final answer
    x = 1,087.50

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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.