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Finding the Fourth Proportional to 1,304.57, 1,957.16 and 380.15

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Solution

The fourth proportional to 1,304.57, 1,957.16 and 380.15 is: 570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.57 : 1,957.16 = 380.15 : x
  2. Step 2: Convert to fraction form
    1,304.57/1,957.16 = 380.15/x
  3. Step 3: Cross multiply
    1,304.57x = 1,957.16 × 380.15
  4. Step 4: Simplify right side
    1,304.57x = 744,002.69
  5. Step 5: Solve for x
    x = 744,002.69/1,304.57
  6. Step 6: Final answer
    x = 570.31

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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.