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Finding the Fourth Proportional to 799.79, 1,193.85 and 741.20

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Solution

The fourth proportional to 799.79, 1,193.85 and 741.20 is: 1,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.79 : 1,193.85 = 741.20 : x
  2. Step 2: Convert to fraction form
    799.79/1,193.85 = 741.20/x
  3. Step 3: Cross multiply
    799.79x = 1,193.85 × 741.20
  4. Step 4: Simplify right side
    799.79x = 884,875.65
  5. Step 5: Solve for x
    x = 884,875.65/799.79
  6. Step 6: Final answer
    x = 1,106.39

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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.