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Finding the Fourth Proportional to 1,488.06, 2,230.92 and 513.66

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Solution

The fourth proportional to 1,488.06, 2,230.92 and 513.66 is: 770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.06 : 2,230.92 = 513.66 : x
  2. Step 2: Convert to fraction form
    1,488.06/2,230.92 = 513.66/x
  3. Step 3: Cross multiply
    1,488.06x = 2,230.92 × 513.66
  4. Step 4: Simplify right side
    1,488.06x = 1,145,934.37
  5. Step 5: Solve for x
    x = 1,145,934.37/1,488.06
  6. Step 6: Final answer
    x = 770.09

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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.