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Finding the Fourth Proportional to 1,025.03, 1,414.54 and 559.28

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Solution

The fourth proportional to 1,025.03, 1,414.54 and 559.28 is: 771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.03 : 1,414.54 = 559.28 : x
  2. Step 2: Convert to fraction form
    1,025.03/1,414.54 = 559.28/x
  3. Step 3: Cross multiply
    1,025.03x = 1,414.54 × 559.28
  4. Step 4: Simplify right side
    1,025.03x = 791,123.93
  5. Step 5: Solve for x
    x = 791,123.93/1,025.03
  6. Step 6: Final answer
    x = 771.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.