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Finding the Fourth Proportional to 1,025.41, 1,415.06 and 632.66

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Solution

The fourth proportional to 1,025.41, 1,415.06 and 632.66 is: 873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.41 : 1,415.06 = 632.66 : x
  2. Step 2: Convert to fraction form
    1,025.41/1,415.06 = 632.66/x
  3. Step 3: Cross multiply
    1,025.41x = 1,415.06 × 632.66
  4. Step 4: Simplify right side
    1,025.41x = 895,249.11
  5. Step 5: Solve for x
    x = 895,249.11/1,025.41
  6. Step 6: Final answer
    x = 873.07

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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.