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Finding the Fourth Proportional to 1,137.39, 1,569.44 and 658.67

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Solution

The fourth proportional to 1,137.39, 1,569.44 and 658.67 is: 908.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.39 : 1,569.44 = 658.67 : x
  2. Step 2: Convert to fraction form
    1,137.39/1,569.44 = 658.67/x
  3. Step 3: Cross multiply
    1,137.39x = 1,569.44 × 658.67
  4. Step 4: Simplify right side
    1,137.39x = 1,033,731.90
  5. Step 5: Solve for x
    x = 1,033,731.90/1,137.39
  6. Step 6: Final answer
    x = 908.86

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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.