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Finding the Fourth Proportional to 866.34, 1,304.64 and 780.66

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Solution

The fourth proportional to 866.34, 1,304.64 and 780.66 is: 1,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.34 : 1,304.64 = 780.66 : x
  2. Step 2: Convert to fraction form
    866.34/1,304.64 = 780.66/x
  3. Step 3: Cross multiply
    866.34x = 1,304.64 × 780.66
  4. Step 4: Simplify right side
    866.34x = 1,018,480.26
  5. Step 5: Solve for x
    x = 1,018,480.26/866.34
  6. Step 6: Final answer
    x = 1,175.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.