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Finding the Fourth Proportional to 1,092.65, 1,506.10 and 738.46

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Solution

The fourth proportional to 1,092.65, 1,506.10 and 738.46 is: 1,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.65 : 1,506.10 = 738.46 : x
  2. Step 2: Convert to fraction form
    1,092.65/1,506.10 = 738.46/x
  3. Step 3: Cross multiply
    1,092.65x = 1,506.10 × 738.46
  4. Step 4: Simplify right side
    1,092.65x = 1,112,194.61
  5. Step 5: Solve for x
    x = 1,112,194.61/1,092.65
  6. Step 6: Final answer
    x = 1,017.89

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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.