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Finding the Fourth Proportional to 795.70, 1,096.02 and 608.86

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Solution

The fourth proportional to 795.70, 1,096.02 and 608.86 is: 838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.70 : 1,096.02 = 608.86 : x
  2. Step 2: Convert to fraction form
    795.70/1,096.02 = 608.86/x
  3. Step 3: Cross multiply
    795.70x = 1,096.02 × 608.86
  4. Step 4: Simplify right side
    795.70x = 667,322.74
  5. Step 5: Solve for x
    x = 667,322.74/795.70
  6. Step 6: Final answer
    x = 838.66

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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.