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Finding the Fourth Proportional to 795.52, 1,098.10 and 684.56

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Solution

The fourth proportional to 795.52, 1,098.10 and 684.56 is: 944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.52 : 1,098.10 = 684.56 : x
  2. Step 2: Convert to fraction form
    795.52/1,098.10 = 684.56/x
  3. Step 3: Cross multiply
    795.52x = 1,098.10 × 684.56
  4. Step 4: Simplify right side
    795.52x = 751,715.34
  5. Step 5: Solve for x
    x = 751,715.34/795.52
  6. Step 6: Final answer
    x = 944.94

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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.