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Finding the Fourth Proportional to 1,292.49, 1,937.12 and 643.41

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Solution

The fourth proportional to 1,292.49, 1,937.12 and 643.41 is: 964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.49 : 1,937.12 = 643.41 : x
  2. Step 2: Convert to fraction form
    1,292.49/1,937.12 = 643.41/x
  3. Step 3: Cross multiply
    1,292.49x = 1,937.12 × 643.41
  4. Step 4: Simplify right side
    1,292.49x = 1,246,359.16
  5. Step 5: Solve for x
    x = 1,246,359.16/1,292.49
  6. Step 6: Final answer
    x = 964.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.