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Finding the Fourth Proportional to 869.07, 1,200.37 and 632.65

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Solution

The fourth proportional to 869.07, 1,200.37 and 632.65 is: 873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.07 : 1,200.37 = 632.65 : x
  2. Step 2: Convert to fraction form
    869.07/1,200.37 = 632.65/x
  3. Step 3: Cross multiply
    869.07x = 1,200.37 × 632.65
  4. Step 4: Simplify right side
    869.07x = 759,408.08
  5. Step 5: Solve for x
    x = 759,408.08/869.07
  6. Step 6: Final answer
    x = 873.82

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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.