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Finding the Fourth Proportional to 1,023.55, 1,409.95 and 814.42

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Solution

The fourth proportional to 1,023.55, 1,409.95 and 814.42 is: 1,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.55 : 1,409.95 = 814.42 : x
  2. Step 2: Convert to fraction form
    1,023.55/1,409.95 = 814.42/x
  3. Step 3: Cross multiply
    1,023.55x = 1,409.95 × 814.42
  4. Step 4: Simplify right side
    1,023.55x = 1,148,291.48
  5. Step 5: Solve for x
    x = 1,148,291.48/1,023.55
  6. Step 6: Final answer
    x = 1,121.87

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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.