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Finding the Fourth Proportional to 866.76, 1,196.14 and 517.52

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Solution

The fourth proportional to 866.76, 1,196.14 and 517.52 is: 714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.76 : 1,196.14 = 517.52 : x
  2. Step 2: Convert to fraction form
    866.76/1,196.14 = 517.52/x
  3. Step 3: Cross multiply
    866.76x = 1,196.14 × 517.52
  4. Step 4: Simplify right side
    866.76x = 619,026.37
  5. Step 5: Solve for x
    x = 619,026.37/866.76
  6. Step 6: Final answer
    x = 714.18

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