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Finding the Fourth Proportional to 1,294.40, 1,941.42 and 677.90

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Solution

The fourth proportional to 1,294.40, 1,941.42 and 677.90 is: 1,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.40 : 1,941.42 = 677.90 : x
  2. Step 2: Convert to fraction form
    1,294.40/1,941.42 = 677.90/x
  3. Step 3: Cross multiply
    1,294.40x = 1,941.42 × 677.90
  4. Step 4: Simplify right side
    1,294.40x = 1,316,088.62
  5. Step 5: Solve for x
    x = 1,316,088.62/1,294.40
  6. Step 6: Final answer
    x = 1,016.76

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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.