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Finding the Fourth Proportional to 795.93, 1,193.90 and 777.71

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Solution

The fourth proportional to 795.93, 1,193.90 and 777.71 is: 1,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.93 : 1,193.90 = 777.71 : x
  2. Step 2: Convert to fraction form
    795.93/1,193.90 = 777.71/x
  3. Step 3: Cross multiply
    795.93x = 1,193.90 × 777.71
  4. Step 4: Simplify right side
    795.93x = 928,507.97
  5. Step 5: Solve for x
    x = 928,507.97/795.93
  6. Step 6: Final answer
    x = 1,166.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.