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Finding the Fourth Proportional to 1,001.49, 1,381.23 and 765.78

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Solution

The fourth proportional to 1,001.49, 1,381.23 and 765.78 is: 1,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.49 : 1,381.23 = 765.78 : x
  2. Step 2: Convert to fraction form
    1,001.49/1,381.23 = 765.78/x
  3. Step 3: Cross multiply
    1,001.49x = 1,381.23 × 765.78
  4. Step 4: Simplify right side
    1,001.49x = 1,057,718.31
  5. Step 5: Solve for x
    x = 1,057,718.31/1,001.49
  6. Step 6: Final answer
    x = 1,056.14

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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.