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Finding the Fourth Proportional to 1,073.76, 1,481.76 and 601.65

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Solution

The fourth proportional to 1,073.76, 1,481.76 and 601.65 is: 830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.76 : 1,481.76 = 601.65 : x
  2. Step 2: Convert to fraction form
    1,073.76/1,481.76 = 601.65/x
  3. Step 3: Cross multiply
    1,073.76x = 1,481.76 × 601.65
  4. Step 4: Simplify right side
    1,073.76x = 891,493.50
  5. Step 5: Solve for x
    x = 891,493.50/1,073.76
  6. Step 6: Final answer
    x = 830.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.