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Finding the Fourth Proportional to 1,304.92, 1,957.36 and 534.88

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Solution

The fourth proportional to 1,304.92, 1,957.36 and 534.88 is: 802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.92 : 1,957.36 = 534.88 : x
  2. Step 2: Convert to fraction form
    1,304.92/1,957.36 = 534.88/x
  3. Step 3: Cross multiply
    1,304.92x = 1,957.36 × 534.88
  4. Step 4: Simplify right side
    1,304.92x = 1,046,952.72
  5. Step 5: Solve for x
    x = 1,046,952.72/1,304.92
  6. Step 6: Final answer
    x = 802.31

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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.