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Finding the Fourth Proportional to 1,073.12, 1,481.63 and 824.00

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Solution

The fourth proportional to 1,073.12, 1,481.63 and 824.00 is: 1,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.12 : 1,481.63 = 824.00 : x
  2. Step 2: Convert to fraction form
    1,073.12/1,481.63 = 824.00/x
  3. Step 3: Cross multiply
    1,073.12x = 1,481.63 × 824.00
  4. Step 4: Simplify right side
    1,073.12x = 1,220,862.70
  5. Step 5: Solve for x
    x = 1,220,862.70/1,073.12
  6. Step 6: Final answer
    x = 1,137.67

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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.