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Finding the Fourth Proportional to 1,488.88, 2,233.28 and 393.25

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Solution

The fourth proportional to 1,488.88, 2,233.28 and 393.25 is: 589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.88 : 2,233.28 = 393.25 : x
  2. Step 2: Convert to fraction form
    1,488.88/2,233.28 = 393.25/x
  3. Step 3: Cross multiply
    1,488.88x = 2,233.28 × 393.25
  4. Step 4: Simplify right side
    1,488.88x = 878,237.32
  5. Step 5: Solve for x
    x = 878,237.32/1,488.88
  6. Step 6: Final answer
    x = 589.87

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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.