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Finding the Fourth Proportional to 798.52, 1,098.66 and 623.56

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Solution

The fourth proportional to 798.52, 1,098.66 and 623.56 is: 857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.52 : 1,098.66 = 623.56 : x
  2. Step 2: Convert to fraction form
    798.52/1,098.66 = 623.56/x
  3. Step 3: Cross multiply
    798.52x = 1,098.66 × 623.56
  4. Step 4: Simplify right side
    798.52x = 685,080.43
  5. Step 5: Solve for x
    x = 685,080.43/798.52
  6. Step 6: Final answer
    x = 857.94

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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.