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Finding the Fourth Proportional to 1,304.87, 1,957.31 and 574.45

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Solution

The fourth proportional to 1,304.87, 1,957.31 and 574.45 is: 861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.87 : 1,957.31 = 574.45 : x
  2. Step 2: Convert to fraction form
    1,304.87/1,957.31 = 574.45/x
  3. Step 3: Cross multiply
    1,304.87x = 1,957.31 × 574.45
  4. Step 4: Simplify right side
    1,304.87x = 1,124,373.86
  5. Step 5: Solve for x
    x = 1,124,373.86/1,304.87
  6. Step 6: Final answer
    x = 861.68

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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.