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Finding the Fourth Proportional to 1,452.08, 2,178.26 and 478.18

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Solution

The fourth proportional to 1,452.08, 2,178.26 and 478.18 is: 717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.08 : 2,178.26 = 478.18 : x
  2. Step 2: Convert to fraction form
    1,452.08/2,178.26 = 478.18/x
  3. Step 3: Cross multiply
    1,452.08x = 2,178.26 × 478.18
  4. Step 4: Simplify right side
    1,452.08x = 1,041,596.12
  5. Step 5: Solve for x
    x = 1,041,596.12/1,452.08
  6. Step 6: Final answer
    x = 717.32

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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.