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Finding the Fourth Proportional to 1,293.70, 1,937.85 and 715.90

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Solution

The fourth proportional to 1,293.70, 1,937.85 and 715.90 is: 1,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.70 : 1,937.85 = 715.90 : x
  2. Step 2: Convert to fraction form
    1,293.70/1,937.85 = 715.90/x
  3. Step 3: Cross multiply
    1,293.70x = 1,937.85 × 715.90
  4. Step 4: Simplify right side
    1,293.70x = 1,387,306.82
  5. Step 5: Solve for x
    x = 1,387,306.82/1,293.70
  6. Step 6: Final answer
    x = 1,072.36

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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.