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Finding the Fourth Proportional to 872.83, 1,204.40 and 499.91

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Solution

The fourth proportional to 872.83, 1,204.40 and 499.91 is: 689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.83 : 1,204.40 = 499.91 : x
  2. Step 2: Convert to fraction form
    872.83/1,204.40 = 499.91/x
  3. Step 3: Cross multiply
    872.83x = 1,204.40 × 499.91
  4. Step 4: Simplify right side
    872.83x = 602,086.83
  5. Step 5: Solve for x
    x = 602,086.83/872.83
  6. Step 6: Final answer
    x = 689.81

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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.