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Finding the Fourth Proportional to 827.66, 1,240.65 and 365.35

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Solution

The fourth proportional to 827.66, 1,240.65 and 365.35 is: 547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.66 : 1,240.65 = 365.35 : x
  2. Step 2: Convert to fraction form
    827.66/1,240.65 = 365.35/x
  3. Step 3: Cross multiply
    827.66x = 1,240.65 × 365.35
  4. Step 4: Simplify right side
    827.66x = 453,273.03
  5. Step 5: Solve for x
    x = 453,273.03/827.66
  6. Step 6: Final answer
    x = 547.66

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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.