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Finding the Fourth Proportional to 912.15, 1,366.20 and 584.10

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Solution

The fourth proportional to 912.15, 1,366.20 and 584.10 is: 874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.15 : 1,366.20 = 584.10 : x
  2. Step 2: Convert to fraction form
    912.15/1,366.20 = 584.10/x
  3. Step 3: Cross multiply
    912.15x = 1,366.20 × 584.10
  4. Step 4: Simplify right side
    912.15x = 797,997.42
  5. Step 5: Solve for x
    x = 797,997.42/912.15
  6. Step 6: Final answer
    x = 874.85

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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.