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Finding the Fourth Proportional to 1,288.92, 1,934.20 and 742.20

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Solution

The fourth proportional to 1,288.92, 1,934.20 and 742.20 is: 1,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.92 : 1,934.20 = 742.20 : x
  2. Step 2: Convert to fraction form
    1,288.92/1,934.20 = 742.20/x
  3. Step 3: Cross multiply
    1,288.92x = 1,934.20 × 742.20
  4. Step 4: Simplify right side
    1,288.92x = 1,435,563.24
  5. Step 5: Solve for x
    x = 1,435,563.24/1,288.92
  6. Step 6: Final answer
    x = 1,113.77

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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.