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Finding the Fourth Proportional to 1,472.84, 2,209.31 and 377.23

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Solution

The fourth proportional to 1,472.84, 2,209.31 and 377.23 is: 565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.84 : 2,209.31 = 377.23 : x
  2. Step 2: Convert to fraction form
    1,472.84/2,209.31 = 377.23/x
  3. Step 3: Cross multiply
    1,472.84x = 2,209.31 × 377.23
  4. Step 4: Simplify right side
    1,472.84x = 833,418.01
  5. Step 5: Solve for x
    x = 833,418.01/1,472.84
  6. Step 6: Final answer
    x = 565.86

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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.