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Finding the Fourth Proportional to 1,162.19, 1,603.77 and 638.21

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Solution

The fourth proportional to 1,162.19, 1,603.77 and 638.21 is: 880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.19 : 1,603.77 = 638.21 : x
  2. Step 2: Convert to fraction form
    1,162.19/1,603.77 = 638.21/x
  3. Step 3: Cross multiply
    1,162.19x = 1,603.77 × 638.21
  4. Step 4: Simplify right side
    1,162.19x = 1,023,542.05
  5. Step 5: Solve for x
    x = 1,023,542.05/1,162.19
  6. Step 6: Final answer
    x = 880.70

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Half scale
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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.