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Finding the Fourth Proportional to 869.03, 1,199.24 and 470.67

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Solution

The fourth proportional to 869.03, 1,199.24 and 470.67 is: 649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.03 : 1,199.24 = 470.67 : x
  2. Step 2: Convert to fraction form
    869.03/1,199.24 = 470.67/x
  3. Step 3: Cross multiply
    869.03x = 1,199.24 × 470.67
  4. Step 4: Simplify right side
    869.03x = 564,452.40
  5. Step 5: Solve for x
    x = 564,452.40/869.03
  6. Step 6: Final answer
    x = 649.52

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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.