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Finding the Fourth Proportional to 869.05, 1,199.28 and 470.70

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Solution

The fourth proportional to 869.05, 1,199.28 and 470.70 is: 649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.05 : 1,199.28 = 470.70 : x
  2. Step 2: Convert to fraction form
    869.05/1,199.28 = 470.70/x
  3. Step 3: Cross multiply
    869.05x = 1,199.28 × 470.70
  4. Step 4: Simplify right side
    869.05x = 564,501.10
  5. Step 5: Solve for x
    x = 564,501.10/869.05
  6. Step 6: Final answer
    x = 649.56

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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.