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Finding the Fourth Proportional to 1,304.73, 1,957.14 and 655.38

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Solution

The fourth proportional to 1,304.73, 1,957.14 and 655.38 is: 983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.73 : 1,957.14 = 655.38 : x
  2. Step 2: Convert to fraction form
    1,304.73/1,957.14 = 655.38/x
  3. Step 3: Cross multiply
    1,304.73x = 1,957.14 × 655.38
  4. Step 4: Simplify right side
    1,304.73x = 1,282,670.41
  5. Step 5: Solve for x
    x = 1,282,670.41/1,304.73
  6. Step 6: Final answer
    x = 983.09

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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.