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Finding the Fourth Proportional to 1,452.66, 2,178.96 and 478.82

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Solution

The fourth proportional to 1,452.66, 2,178.96 and 478.82 is: 718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.66 : 2,178.96 = 478.82 : x
  2. Step 2: Convert to fraction form
    1,452.66/2,178.96 = 478.82/x
  3. Step 3: Cross multiply
    1,452.66x = 2,178.96 × 478.82
  4. Step 4: Simplify right side
    1,452.66x = 1,043,329.63
  5. Step 5: Solve for x
    x = 1,043,329.63/1,452.66
  6. Step 6: Final answer
    x = 718.22

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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.