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Finding the Fourth Proportional to 1,025.54, 1,415.23 and 559.79

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Solution

The fourth proportional to 1,025.54, 1,415.23 and 559.79 is: 772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.54 : 1,415.23 = 559.79 : x
  2. Step 2: Convert to fraction form
    1,025.54/1,415.23 = 559.79/x
  3. Step 3: Cross multiply
    1,025.54x = 1,415.23 × 559.79
  4. Step 4: Simplify right side
    1,025.54x = 792,231.60
  5. Step 5: Solve for x
    x = 792,231.60/1,025.54
  6. Step 6: Final answer
    x = 772.50

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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.