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Finding the Fourth Proportional to 1,452.66, 2,179.08 and 478.74

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Solution

The fourth proportional to 1,452.66, 2,179.08 and 478.74 is: 718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.66 : 2,179.08 = 478.74 : x
  2. Step 2: Convert to fraction form
    1,452.66/2,179.08 = 478.74/x
  3. Step 3: Cross multiply
    1,452.66x = 2,179.08 × 478.74
  4. Step 4: Simplify right side
    1,452.66x = 1,043,212.76
  5. Step 5: Solve for x
    x = 1,043,212.76/1,452.66
  6. Step 6: Final answer
    x = 718.14

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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.