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Finding the Fourth Proportional to 1,292.04, 1,939.40 and 643.20

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Solution

The fourth proportional to 1,292.04, 1,939.40 and 643.20 is: 965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.04 : 1,939.40 = 643.20 : x
  2. Step 2: Convert to fraction form
    1,292.04/1,939.40 = 643.20/x
  3. Step 3: Cross multiply
    1,292.04x = 1,939.40 × 643.20
  4. Step 4: Simplify right side
    1,292.04x = 1,247,422.08
  5. Step 5: Solve for x
    x = 1,247,422.08/1,292.04
  6. Step 6: Final answer
    x = 965.47

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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.