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Finding the Fourth Proportional to 866.57, 1,194.12 and 735.35

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Solution

The fourth proportional to 866.57, 1,194.12 and 735.35 is: 1,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.57 : 1,194.12 = 735.35 : x
  2. Step 2: Convert to fraction form
    866.57/1,194.12 = 735.35/x
  3. Step 3: Cross multiply
    866.57x = 1,194.12 × 735.35
  4. Step 4: Simplify right side
    866.57x = 878,090.17
  5. Step 5: Solve for x
    x = 878,090.17/866.57
  6. Step 6: Final answer
    x = 1,013.30

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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.