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Finding the Fourth Proportional to 1,524.34, 2,286.53 and 658.63

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Solution

The fourth proportional to 1,524.34, 2,286.53 and 658.63 is: 987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.34 : 2,286.53 = 658.63 : x
  2. Step 2: Convert to fraction form
    1,524.34/2,286.53 = 658.63/x
  3. Step 3: Cross multiply
    1,524.34x = 2,286.53 × 658.63
  4. Step 4: Simplify right side
    1,524.34x = 1,505,962.53
  5. Step 5: Solve for x
    x = 1,505,962.53/1,524.34
  6. Step 6: Final answer
    x = 987.95

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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.