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Finding the Fourth Proportional to 1,452.76, 2,178.90 and 478.76

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Solution

The fourth proportional to 1,452.76, 2,178.90 and 478.76 is: 718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.76 : 2,178.90 = 478.76 : x
  2. Step 2: Convert to fraction form
    1,452.76/2,178.90 = 478.76/x
  3. Step 3: Cross multiply
    1,452.76x = 2,178.90 × 478.76
  4. Step 4: Simplify right side
    1,452.76x = 1,043,170.16
  5. Step 5: Solve for x
    x = 1,043,170.16/1,452.76
  6. Step 6: Final answer
    x = 718.06

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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.