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Finding the Fourth Proportional to 1,092.47, 1,508.10 and 719.65

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Solution

The fourth proportional to 1,092.47, 1,508.10 and 719.65 is: 993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.47 : 1,508.10 = 719.65 : x
  2. Step 2: Convert to fraction form
    1,092.47/1,508.10 = 719.65/x
  3. Step 3: Cross multiply
    1,092.47x = 1,508.10 × 719.65
  4. Step 4: Simplify right side
    1,092.47x = 1,085,304.17
  5. Step 5: Solve for x
    x = 1,085,304.17/1,092.47
  6. Step 6: Final answer
    x = 993.44

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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.