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Finding the Fourth Proportional to 1,488.15, 2,230.20 and 755.91

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Solution

The fourth proportional to 1,488.15, 2,230.20 and 755.91 is: 1,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.15 : 2,230.20 = 755.91 : x
  2. Step 2: Convert to fraction form
    1,488.15/2,230.20 = 755.91/x
  3. Step 3: Cross multiply
    1,488.15x = 2,230.20 × 755.91
  4. Step 4: Simplify right side
    1,488.15x = 1,685,830.48
  5. Step 5: Solve for x
    x = 1,685,830.48/1,488.15
  6. Step 6: Final answer
    x = 1,132.84

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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.