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Finding the Fourth Proportional to 1,488.17, 2,232.42 and 564.41

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Solution

The fourth proportional to 1,488.17, 2,232.42 and 564.41 is: 846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.17 : 2,232.42 = 564.41 : x
  2. Step 2: Convert to fraction form
    1,488.17/2,232.42 = 564.41/x
  3. Step 3: Cross multiply
    1,488.17x = 2,232.42 × 564.41
  4. Step 4: Simplify right side
    1,488.17x = 1,260,005.75
  5. Step 5: Solve for x
    x = 1,260,005.75/1,488.17
  6. Step 6: Final answer
    x = 846.68

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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.