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Finding the Fourth Proportional to 1,092.30, 1,508.09 and 719.91

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Solution

The fourth proportional to 1,092.30, 1,508.09 and 719.91 is: 993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.30 : 1,508.09 = 719.91 : x
  2. Step 2: Convert to fraction form
    1,092.30/1,508.09 = 719.91/x
  3. Step 3: Cross multiply
    1,092.30x = 1,508.09 × 719.91
  4. Step 4: Simplify right side
    1,092.30x = 1,085,689.07
  5. Step 5: Solve for x
    x = 1,085,689.07/1,092.30
  6. Step 6: Final answer
    x = 993.95

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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.