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Finding the Fourth Proportional to 1,452.45, 2,177.87 and 478.47

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Solution

The fourth proportional to 1,452.45, 2,177.87 and 478.47 is: 717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.45 : 2,177.87 = 478.47 : x
  2. Step 2: Convert to fraction form
    1,452.45/2,177.87 = 478.47/x
  3. Step 3: Cross multiply
    1,452.45x = 2,177.87 × 478.47
  4. Step 4: Simplify right side
    1,452.45x = 1,042,043.07
  5. Step 5: Solve for x
    x = 1,042,043.07/1,452.45
  6. Step 6: Final answer
    x = 717.44

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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.