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Finding the Fourth Proportional to 795.46, 1,183.56 and 775.62

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Solution

The fourth proportional to 795.46, 1,183.56 and 775.62 is: 1,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.46 : 1,183.56 = 775.62 : x
  2. Step 2: Convert to fraction form
    795.46/1,183.56 = 775.62/x
  3. Step 3: Cross multiply
    795.46x = 1,183.56 × 775.62
  4. Step 4: Simplify right side
    795.46x = 917,992.81
  5. Step 5: Solve for x
    x = 917,992.81/795.46
  6. Step 6: Final answer
    x = 1,154.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.