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Finding the Fourth Proportional to 1,478.72, 2,217.44 and 785.24

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Solution

The fourth proportional to 1,478.72, 2,217.44 and 785.24 is: 1,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.72 : 2,217.44 = 785.24 : x
  2. Step 2: Convert to fraction form
    1,478.72/2,217.44 = 785.24/x
  3. Step 3: Cross multiply
    1,478.72x = 2,217.44 × 785.24
  4. Step 4: Simplify right side
    1,478.72x = 1,741,221.78
  5. Step 5: Solve for x
    x = 1,741,221.78/1,478.72
  6. Step 6: Final answer
    x = 1,177.52

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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.