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Finding the Fourth Proportional to 853.74, 1,177.79 and 499.59

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Solution

The fourth proportional to 853.74, 1,177.79 and 499.59 is: 689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.74 : 1,177.79 = 499.59 : x
  2. Step 2: Convert to fraction form
    853.74/1,177.79 = 499.59/x
  3. Step 3: Cross multiply
    853.74x = 1,177.79 × 499.59
  4. Step 4: Simplify right side
    853.74x = 588,409.61
  5. Step 5: Solve for x
    x = 588,409.61/853.74
  6. Step 6: Final answer
    x = 689.21

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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.