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Finding the Fourth Proportional to 1,293.15, 1,939.12 and 643.13

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Solution

The fourth proportional to 1,293.15, 1,939.12 and 643.13 is: 964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.15 : 1,939.12 = 643.13 : x
  2. Step 2: Convert to fraction form
    1,293.15/1,939.12 = 643.13/x
  3. Step 3: Cross multiply
    1,293.15x = 1,939.12 × 643.13
  4. Step 4: Simplify right side
    1,293.15x = 1,247,094.94
  5. Step 5: Solve for x
    x = 1,247,094.94/1,293.15
  6. Step 6: Final answer
    x = 964.39

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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.