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Finding the Fourth Proportional to 767.81, 1,146.09 and 702.87

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Solution

The fourth proportional to 767.81, 1,146.09 and 702.87 is: 1,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.81 : 1,146.09 = 702.87 : x
  2. Step 2: Convert to fraction form
    767.81/1,146.09 = 702.87/x
  3. Step 3: Cross multiply
    767.81x = 1,146.09 × 702.87
  4. Step 4: Simplify right side
    767.81x = 805,552.28
  5. Step 5: Solve for x
    x = 805,552.28/767.81
  6. Step 6: Final answer
    x = 1,049.16

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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.