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Finding the Fourth Proportional to 912.27, 1,366.23 and 472.34

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Solution

The fourth proportional to 912.27, 1,366.23 and 472.34 is: 707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.27 : 1,366.23 = 472.34 : x
  2. Step 2: Convert to fraction form
    912.27/1,366.23 = 472.34/x
  3. Step 3: Cross multiply
    912.27x = 1,366.23 × 472.34
  4. Step 4: Simplify right side
    912.27x = 645,330.27
  5. Step 5: Solve for x
    x = 645,330.27/912.27
  6. Step 6: Final answer
    x = 707.39

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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.