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Finding the Fourth Proportional to 1,025.48, 1,415.25 and 632.54

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Solution

The fourth proportional to 1,025.48, 1,415.25 and 632.54 is: 872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.48 : 1,415.25 = 632.54 : x
  2. Step 2: Convert to fraction form
    1,025.48/1,415.25 = 632.54/x
  3. Step 3: Cross multiply
    1,025.48x = 1,415.25 × 632.54
  4. Step 4: Simplify right side
    1,025.48x = 895,205.77
  5. Step 5: Solve for x
    x = 895,205.77/1,025.48
  6. Step 6: Final answer
    x = 872.96

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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.