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Finding the Fourth Proportional to 912.96, 1,365.78 and 586.12

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Solution

The fourth proportional to 912.96, 1,365.78 and 586.12 is: 876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.96 : 1,365.78 = 586.12 : x
  2. Step 2: Convert to fraction form
    912.96/1,365.78 = 586.12/x
  3. Step 3: Cross multiply
    912.96x = 1,365.78 × 586.12
  4. Step 4: Simplify right side
    912.96x = 800,510.97
  5. Step 5: Solve for x
    x = 800,510.97/912.96
  6. Step 6: Final answer
    x = 876.83

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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.