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Finding the Fourth Proportional to 866.01, 1,193.85 and 534.27

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Solution

The fourth proportional to 866.01, 1,193.85 and 534.27 is: 736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.01 : 1,193.85 = 534.27 : x
  2. Step 2: Convert to fraction form
    866.01/1,193.85 = 534.27/x
  3. Step 3: Cross multiply
    866.01x = 1,193.85 × 534.27
  4. Step 4: Simplify right side
    866.01x = 637,838.24
  5. Step 5: Solve for x
    x = 637,838.24/866.01
  6. Step 6: Final answer
    x = 736.53

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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.