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Finding the Fourth Proportional to 1,488.34, 2,233 and 563.98

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Solution

The fourth proportional to 1,488.34, 2,233 and 563.98 is: 846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.34 : 2,233 = 563.98 : x
  2. Step 2: Convert to fraction form
    1,488.34/2,233 = 563.98/x
  3. Step 3: Cross multiply
    1,488.34x = 2,233 × 563.98
  4. Step 4: Simplify right side
    1,488.34x = 1,259,367.34
  5. Step 5: Solve for x
    x = 1,259,367.34/1,488.34
  6. Step 6: Final answer
    x = 846.16

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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.