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Finding the Fourth Proportional to 1,304.82, 1,957.50 and 688.19

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Solution

The fourth proportional to 1,304.82, 1,957.50 and 688.19 is: 1,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.82 : 1,957.50 = 688.19 : x
  2. Step 2: Convert to fraction form
    1,304.82/1,957.50 = 688.19/x
  3. Step 3: Cross multiply
    1,304.82x = 1,957.50 × 688.19
  4. Step 4: Simplify right side
    1,304.82x = 1,347,122.14
  5. Step 5: Solve for x
    x = 1,347,122.14/1,304.82
  6. Step 6: Final answer
    x = 1,032.42

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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.