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Finding the Fourth Proportional to 1,254.22, 1,882.03 and 474.75

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Solution

The fourth proportional to 1,254.22, 1,882.03 and 474.75 is: 712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.22 : 1,882.03 = 474.75 : x
  2. Step 2: Convert to fraction form
    1,254.22/1,882.03 = 474.75/x
  3. Step 3: Cross multiply
    1,254.22x = 1,882.03 × 474.75
  4. Step 4: Simplify right side
    1,254.22x = 893,493.74
  5. Step 5: Solve for x
    x = 893,493.74/1,254.22
  6. Step 6: Final answer
    x = 712.39

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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.