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Finding the Fourth Proportional to 795.94, 1,098.17 and 476.78

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Solution

The fourth proportional to 795.94, 1,098.17 and 476.78 is: 657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.94 : 1,098.17 = 476.78 : x
  2. Step 2: Convert to fraction form
    795.94/1,098.17 = 476.78/x
  3. Step 3: Cross multiply
    795.94x = 1,098.17 × 476.78
  4. Step 4: Simplify right side
    795.94x = 523,586.68
  5. Step 5: Solve for x
    x = 523,586.68/795.94
  6. Step 6: Final answer
    x = 657.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.