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Finding the Fourth Proportional to 1,105.18, 1,524.71 and 632.82

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Solution

The fourth proportional to 1,105.18, 1,524.71 and 632.82 is: 873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.18 : 1,524.71 = 632.82 : x
  2. Step 2: Convert to fraction form
    1,105.18/1,524.71 = 632.82/x
  3. Step 3: Cross multiply
    1,105.18x = 1,524.71 × 632.82
  4. Step 4: Simplify right side
    1,105.18x = 964,868.56
  5. Step 5: Solve for x
    x = 964,868.56/1,105.18
  6. Step 6: Final answer
    x = 873.04

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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.