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Finding the Fourth Proportional to 1,338.52, 2,008.54 and 722.21

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Solution

The fourth proportional to 1,338.52, 2,008.54 and 722.21 is: 1,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.52 : 2,008.54 = 722.21 : x
  2. Step 2: Convert to fraction form
    1,338.52/2,008.54 = 722.21/x
  3. Step 3: Cross multiply
    1,338.52x = 2,008.54 × 722.21
  4. Step 4: Simplify right side
    1,338.52x = 1,450,587.67
  5. Step 5: Solve for x
    x = 1,450,587.67/1,338.52
  6. Step 6: Final answer
    x = 1,083.73

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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.