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Finding the Fourth Proportional to 1,488.48, 2,232.75 and 564.48

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Solution

The fourth proportional to 1,488.48, 2,232.75 and 564.48 is: 846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.48 : 2,232.75 = 564.48 : x
  2. Step 2: Convert to fraction form
    1,488.48/2,232.75 = 564.48/x
  3. Step 3: Cross multiply
    1,488.48x = 2,232.75 × 564.48
  4. Step 4: Simplify right side
    1,488.48x = 1,260,342.72
  5. Step 5: Solve for x
    x = 1,260,342.72/1,488.48
  6. Step 6: Final answer
    x = 846.73

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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.