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Finding the Fourth Proportional to 1,124.92, 1,679.24 and 971.83

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Solution

The fourth proportional to 1,124.92, 1,679.24 and 971.83 is: 1,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.92 : 1,679.24 = 971.83 : x
  2. Step 2: Convert to fraction form
    1,124.92/1,679.24 = 971.83/x
  3. Step 3: Cross multiply
    1,124.92x = 1,679.24 × 971.83
  4. Step 4: Simplify right side
    1,124.92x = 1,631,922.55
  5. Step 5: Solve for x
    x = 1,631,922.55/1,124.92
  6. Step 6: Final answer
    x = 1,450.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.