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Finding the Fourth Proportional to 1,488.78, 2,232.36 and 564.17

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Solution

The fourth proportional to 1,488.78, 2,232.36 and 564.17 is: 845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.78 : 2,232.36 = 564.17 : x
  2. Step 2: Convert to fraction form
    1,488.78/2,232.36 = 564.17/x
  3. Step 3: Cross multiply
    1,488.78x = 2,232.36 × 564.17
  4. Step 4: Simplify right side
    1,488.78x = 1,259,419.38
  5. Step 5: Solve for x
    x = 1,259,419.38/1,488.78
  6. Step 6: Final answer
    x = 845.94

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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.