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Finding the Fourth Proportional to 1,023.46, 1,414.17 and 804.15

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Solution

The fourth proportional to 1,023.46, 1,414.17 and 804.15 is: 1,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.46 : 1,414.17 = 804.15 : x
  2. Step 2: Convert to fraction form
    1,023.46/1,414.17 = 804.15/x
  3. Step 3: Cross multiply
    1,023.46x = 1,414.17 × 804.15
  4. Step 4: Simplify right side
    1,023.46x = 1,137,204.81
  5. Step 5: Solve for x
    x = 1,137,204.81/1,023.46
  6. Step 6: Final answer
    x = 1,111.14

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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.