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Finding the Fourth Proportional to 861.04, 1,187.34 and 737.11

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Solution

The fourth proportional to 861.04, 1,187.34 and 737.11 is: 1,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.04 : 1,187.34 = 737.11 : x
  2. Step 2: Convert to fraction form
    861.04/1,187.34 = 737.11/x
  3. Step 3: Cross multiply
    861.04x = 1,187.34 × 737.11
  4. Step 4: Simplify right side
    861.04x = 875,200.19
  5. Step 5: Solve for x
    x = 875,200.19/861.04
  6. Step 6: Final answer
    x = 1,016.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.