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Finding the Fourth Proportional to 765.81, 1,142.01 and 681.78

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Solution

The fourth proportional to 765.81, 1,142.01 and 681.78 is: 1,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.81 : 1,142.01 = 681.78 : x
  2. Step 2: Convert to fraction form
    765.81/1,142.01 = 681.78/x
  3. Step 3: Cross multiply
    765.81x = 1,142.01 × 681.78
  4. Step 4: Simplify right side
    765.81x = 778,599.58
  5. Step 5: Solve for x
    x = 778,599.58/765.81
  6. Step 6: Final answer
    x = 1,016.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.