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Finding the Fourth Proportional to 912.24, 1,366.39 and 848.11

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Solution

The fourth proportional to 912.24, 1,366.39 and 848.11 is: 1,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.24 : 1,366.39 = 848.11 : x
  2. Step 2: Convert to fraction form
    912.24/1,366.39 = 848.11/x
  3. Step 3: Cross multiply
    912.24x = 1,366.39 × 848.11
  4. Step 4: Simplify right side
    912.24x = 1,158,849.02
  5. Step 5: Solve for x
    x = 1,158,849.02/912.24
  6. Step 6: Final answer
    x = 1,270.33

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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.