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Finding the Fourth Proportional to 866.34, 1,297.78 and 591.76

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Solution

The fourth proportional to 866.34, 1,297.78 and 591.76 is: 886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.34 : 1,297.78 = 591.76 : x
  2. Step 2: Convert to fraction form
    866.34/1,297.78 = 591.76/x
  3. Step 3: Cross multiply
    866.34x = 1,297.78 × 591.76
  4. Step 4: Simplify right side
    866.34x = 767,974.29
  5. Step 5: Solve for x
    x = 767,974.29/866.34
  6. Step 6: Final answer
    x = 886.46

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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.