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Finding the Fourth Proportional to 1,452.24, 2,178.24 and 478.32

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Solution

The fourth proportional to 1,452.24, 2,178.24 and 478.32 is: 717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.24 : 2,178.24 = 478.32 : x
  2. Step 2: Convert to fraction form
    1,452.24/2,178.24 = 478.32/x
  3. Step 3: Cross multiply
    1,452.24x = 2,178.24 × 478.32
  4. Step 4: Simplify right side
    1,452.24x = 1,041,895.76
  5. Step 5: Solve for x
    x = 1,041,895.76/1,452.24
  6. Step 6: Final answer
    x = 717.44

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1.5x scale

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.