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Finding the Fourth Proportional to 869.53, 1,199.94 and 476.56

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Solution

The fourth proportional to 869.53, 1,199.94 and 476.56 is: 657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.53 : 1,199.94 = 476.56 : x
  2. Step 2: Convert to fraction form
    869.53/1,199.94 = 476.56/x
  3. Step 3: Cross multiply
    869.53x = 1,199.94 × 476.56
  4. Step 4: Simplify right side
    869.53x = 571,843.41
  5. Step 5: Solve for x
    x = 571,843.41/869.53
  6. Step 6: Final answer
    x = 657.65

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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.