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Finding the Fourth Proportional to 1,488.55, 2,229.22 and 745.82

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Solution

The fourth proportional to 1,488.55, 2,229.22 and 745.82 is: 1,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.55 : 2,229.22 = 745.82 : x
  2. Step 2: Convert to fraction form
    1,488.55/2,229.22 = 745.82/x
  3. Step 3: Cross multiply
    1,488.55x = 2,229.22 × 745.82
  4. Step 4: Simplify right side
    1,488.55x = 1,662,598.14
  5. Step 5: Solve for x
    x = 1,662,598.14/1,488.55
  6. Step 6: Final answer
    x = 1,116.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.