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Finding the Fourth Proportional to 814.30, 1,102.95 and 814.30

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Solution

The fourth proportional to 814.30, 1,102.95 and 814.30 is: 1,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.30 : 1,102.95 = 814.30 : x
  2. Step 2: Convert to fraction form
    814.30/1,102.95 = 814.30/x
  3. Step 3: Cross multiply
    814.30x = 1,102.95 × 814.30
  4. Step 4: Simplify right side
    814.30x = 898,132.19
  5. Step 5: Solve for x
    x = 898,132.19/814.30
  6. Step 6: Final answer
    x = 1,102.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.