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Finding the Fourth Proportional to 912.16, 1,367.52 and 582.76

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Solution

The fourth proportional to 912.16, 1,367.52 and 582.76 is: 873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.16 : 1,367.52 = 582.76 : x
  2. Step 2: Convert to fraction form
    912.16/1,367.52 = 582.76/x
  3. Step 3: Cross multiply
    912.16x = 1,367.52 × 582.76
  4. Step 4: Simplify right side
    912.16x = 796,935.96
  5. Step 5: Solve for x
    x = 796,935.96/912.16
  6. Step 6: Final answer
    x = 873.68

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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.