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Finding the Fourth Proportional to 869.29, 1,199.58 and 476.24

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Solution

The fourth proportional to 869.29, 1,199.58 and 476.24 is: 657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.29 : 1,199.58 = 476.24 : x
  2. Step 2: Convert to fraction form
    869.29/1,199.58 = 476.24/x
  3. Step 3: Cross multiply
    869.29x = 1,199.58 × 476.24
  4. Step 4: Simplify right side
    869.29x = 571,287.98
  5. Step 5: Solve for x
    x = 571,287.98/869.29
  6. Step 6: Final answer
    x = 657.19

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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.