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Finding the Fourth Proportional to 883.96, 1,220.04 and 552.58

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Solution

The fourth proportional to 883.96, 1,220.04 and 552.58 is: 762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.96 : 1,220.04 = 552.58 : x
  2. Step 2: Convert to fraction form
    883.96/1,220.04 = 552.58/x
  3. Step 3: Cross multiply
    883.96x = 1,220.04 × 552.58
  4. Step 4: Simplify right side
    883.96x = 674,169.70
  5. Step 5: Solve for x
    x = 674,169.70/883.96
  6. Step 6: Final answer
    x = 762.67

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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.