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Finding the Fourth Proportional to 1,277, 1,762.34 and 725

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Solution

The fourth proportional to 1,277, 1,762.34 and 725 is: 1,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277 : 1,762.34 = 725 : x
  2. Step 2: Convert to fraction form
    1,277/1,762.34 = 725/x
  3. Step 3: Cross multiply
    1,277x = 1,762.34 × 725
  4. Step 4: Simplify right side
    1,277x = 1,277,696.50
  5. Step 5: Solve for x
    x = 1,277,696.50/1,277
  6. Step 6: Final answer
    x = 1,000.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.