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Finding the Fourth Proportional to 1,304.44, 1,957.56 and 688.24

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Solution

The fourth proportional to 1,304.44, 1,957.56 and 688.24 is: 1,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.44 : 1,957.56 = 688.24 : x
  2. Step 2: Convert to fraction form
    1,304.44/1,957.56 = 688.24/x
  3. Step 3: Cross multiply
    1,304.44x = 1,957.56 × 688.24
  4. Step 4: Simplify right side
    1,304.44x = 1,347,271.09
  5. Step 5: Solve for x
    x = 1,347,271.09/1,304.44
  6. Step 6: Final answer
    x = 1,032.83

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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.