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Finding the Fourth Proportional to 1,304.77, 1,957.72 and 866.18

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Solution

The fourth proportional to 1,304.77, 1,957.72 and 866.18 is: 1,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.77 : 1,957.72 = 866.18 : x
  2. Step 2: Convert to fraction form
    1,304.77/1,957.72 = 866.18/x
  3. Step 3: Cross multiply
    1,304.77x = 1,957.72 × 866.18
  4. Step 4: Simplify right side
    1,304.77x = 1,695,723.79
  5. Step 5: Solve for x
    x = 1,695,723.79/1,304.77
  6. Step 6: Final answer
    x = 1,299.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.