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Finding the Fourth Proportional to 1,162.80, 1,604.68 and 638.82

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Solution

The fourth proportional to 1,162.80, 1,604.68 and 638.82 is: 881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.80 : 1,604.68 = 638.82 : x
  2. Step 2: Convert to fraction form
    1,162.80/1,604.68 = 638.82/x
  3. Step 3: Cross multiply
    1,162.80x = 1,604.68 × 638.82
  4. Step 4: Simplify right side
    1,162.80x = 1,025,101.68
  5. Step 5: Solve for x
    x = 1,025,101.68/1,162.80
  6. Step 6: Final answer
    x = 881.58

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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.