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Finding the Fourth Proportional to 827.19, 1,240.88 and 307.35

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Solution

The fourth proportional to 827.19, 1,240.88 and 307.35 is: 461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.19 : 1,240.88 = 307.35 : x
  2. Step 2: Convert to fraction form
    827.19/1,240.88 = 307.35/x
  3. Step 3: Cross multiply
    827.19x = 1,240.88 × 307.35
  4. Step 4: Simplify right side
    827.19x = 381,382.93
  5. Step 5: Solve for x
    x = 381,382.93/827.19
  6. Step 6: Final answer
    x = 461.06

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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.