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Finding the Fourth Proportional to 1,452.02, 2,177.85 and 477.88

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Solution

The fourth proportional to 1,452.02, 2,177.85 and 477.88 is: 716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.02 : 2,177.85 = 477.88 : x
  2. Step 2: Convert to fraction form
    1,452.02/2,177.85 = 477.88/x
  3. Step 3: Cross multiply
    1,452.02x = 2,177.85 × 477.88
  4. Step 4: Simplify right side
    1,452.02x = 1,040,740.07
  5. Step 5: Solve for x
    x = 1,040,740.07/1,452.02
  6. Step 6: Final answer
    x = 716.76

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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.