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Finding the Fourth Proportional to 916.92, 1,377.54 and 845.64

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Solution

The fourth proportional to 916.92, 1,377.54 and 845.64 is: 1,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.92 : 1,377.54 = 845.64 : x
  2. Step 2: Convert to fraction form
    916.92/1,377.54 = 845.64/x
  3. Step 3: Cross multiply
    916.92x = 1,377.54 × 845.64
  4. Step 4: Simplify right side
    916.92x = 1,164,902.93
  5. Step 5: Solve for x
    x = 1,164,902.93/916.92
  6. Step 6: Final answer
    x = 1,270.45

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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.