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Finding the Fourth Proportional to 1,488.10, 2,232.84 and 758.19

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Solution

The fourth proportional to 1,488.10, 2,232.84 and 758.19 is: 1,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.10 : 2,232.84 = 758.19 : x
  2. Step 2: Convert to fraction form
    1,488.10/2,232.84 = 758.19/x
  3. Step 3: Cross multiply
    1,488.10x = 2,232.84 × 758.19
  4. Step 4: Simplify right side
    1,488.10x = 1,692,907.20
  5. Step 5: Solve for x
    x = 1,692,907.20/1,488.10
  6. Step 6: Final answer
    x = 1,137.63

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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.