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Finding the Fourth Proportional to 916.92, 1,373.76 and 894.24

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Solution

The fourth proportional to 916.92, 1,373.76 and 894.24 is: 1,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.92 : 1,373.76 = 894.24 : x
  2. Step 2: Convert to fraction form
    916.92/1,373.76 = 894.24/x
  3. Step 3: Cross multiply
    916.92x = 1,373.76 × 894.24
  4. Step 4: Simplify right side
    916.92x = 1,228,471.14
  5. Step 5: Solve for x
    x = 1,228,471.14/916.92
  6. Step 6: Final answer
    x = 1,339.78

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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.