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Finding the Fourth Proportional to 1,301.04, 1,947.42 and 861.39

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Solution

The fourth proportional to 1,301.04, 1,947.42 and 861.39 is: 1,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.04 : 1,947.42 = 861.39 : x
  2. Step 2: Convert to fraction form
    1,301.04/1,947.42 = 861.39/x
  3. Step 3: Cross multiply
    1,301.04x = 1,947.42 × 861.39
  4. Step 4: Simplify right side
    1,301.04x = 1,677,488.11
  5. Step 5: Solve for x
    x = 1,677,488.11/1,301.04
  6. Step 6: Final answer
    x = 1,289.34

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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.