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Finding the Fourth Proportional to 1,025.97, 1,415.77 and 632.92

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Solution

The fourth proportional to 1,025.97, 1,415.77 and 632.92 is: 873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.97 : 1,415.77 = 632.92 : x
  2. Step 2: Convert to fraction form
    1,025.97/1,415.77 = 632.92/x
  3. Step 3: Cross multiply
    1,025.97x = 1,415.77 × 632.92
  4. Step 4: Simplify right side
    1,025.97x = 896,069.15
  5. Step 5: Solve for x
    x = 896,069.15/1,025.97
  6. Step 6: Final answer
    x = 873.39

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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.