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Finding the Fourth Proportional to 912.87, 1,369.64 and 547.92

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Solution

The fourth proportional to 912.87, 1,369.64 and 547.92 is: 822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.87 : 1,369.64 = 547.92 : x
  2. Step 2: Convert to fraction form
    912.87/1,369.64 = 547.92/x
  3. Step 3: Cross multiply
    912.87x = 1,369.64 × 547.92
  4. Step 4: Simplify right side
    912.87x = 750,453.15
  5. Step 5: Solve for x
    x = 750,453.15/912.87
  6. Step 6: Final answer
    x = 822.08

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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.