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Finding the Fourth Proportional to 827.80, 1,240.62 and 635.02

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Solution

The fourth proportional to 827.80, 1,240.62 and 635.02 is: 951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.80 : 1,240.62 = 635.02 : x
  2. Step 2: Convert to fraction form
    827.80/1,240.62 = 635.02/x
  3. Step 3: Cross multiply
    827.80x = 1,240.62 × 635.02
  4. Step 4: Simplify right side
    827.80x = 787,818.51
  5. Step 5: Solve for x
    x = 787,818.51/827.80
  6. Step 6: Final answer
    x = 951.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.