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Finding the Fourth Proportional to 869.24, 1,199.58 and 476.29

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Solution

The fourth proportional to 869.24, 1,199.58 and 476.29 is: 657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.24 : 1,199.58 = 476.29 : x
  2. Step 2: Convert to fraction form
    869.24/1,199.58 = 476.29/x
  3. Step 3: Cross multiply
    869.24x = 1,199.58 × 476.29
  4. Step 4: Simplify right side
    869.24x = 571,341.96
  5. Step 5: Solve for x
    x = 571,341.96/869.24
  6. Step 6: Final answer
    x = 657.29

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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.