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Finding the Fourth Proportional to 883.28, 1,218.44 and 820.70

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Solution

The fourth proportional to 883.28, 1,218.44 and 820.70 is: 1,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.28 : 1,218.44 = 820.70 : x
  2. Step 2: Convert to fraction form
    883.28/1,218.44 = 820.70/x
  3. Step 3: Cross multiply
    883.28x = 1,218.44 × 820.70
  4. Step 4: Simplify right side
    883.28x = 999,973.71
  5. Step 5: Solve for x
    x = 999,973.71/883.28
  6. Step 6: Final answer
    x = 1,132.11

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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.