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Finding the Fourth Proportional to 1,488.82, 2,233.16 and 708.26

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Solution

The fourth proportional to 1,488.82, 2,233.16 and 708.26 is: 1,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.82 : 2,233.16 = 708.26 : x
  2. Step 2: Convert to fraction form
    1,488.82/2,233.16 = 708.26/x
  3. Step 3: Cross multiply
    1,488.82x = 2,233.16 × 708.26
  4. Step 4: Simplify right side
    1,488.82x = 1,581,657.90
  5. Step 5: Solve for x
    x = 1,581,657.90/1,488.82
  6. Step 6: Final answer
    x = 1,062.36

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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.