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Finding the Fourth Proportional to 1,488.51, 2,232.09 and 563.39

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Solution

The fourth proportional to 1,488.51, 2,232.09 and 563.39 is: 844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.51 : 2,232.09 = 563.39 : x
  2. Step 2: Convert to fraction form
    1,488.51/2,232.09 = 563.39/x
  3. Step 3: Cross multiply
    1,488.51x = 2,232.09 × 563.39
  4. Step 4: Simplify right side
    1,488.51x = 1,257,534.39
  5. Step 5: Solve for x
    x = 1,257,534.39/1,488.51
  6. Step 6: Final answer
    x = 844.83

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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.