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Finding the Fourth Proportional to 1,162.20, 1,603.84 and 638.23

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Solution

The fourth proportional to 1,162.20, 1,603.84 and 638.23 is: 880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.20 : 1,603.84 = 638.23 : x
  2. Step 2: Convert to fraction form
    1,162.20/1,603.84 = 638.23/x
  3. Step 3: Cross multiply
    1,162.20x = 1,603.84 × 638.23
  4. Step 4: Simplify right side
    1,162.20x = 1,023,610.78
  5. Step 5: Solve for x
    x = 1,023,610.78/1,162.20
  6. Step 6: Final answer
    x = 880.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.