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Finding the Fourth Proportional to 1,694.79, 2,542.01 and 770.07

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Solution

The fourth proportional to 1,694.79, 2,542.01 and 770.07 is: 1,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.79 : 2,542.01 = 770.07 : x
  2. Step 2: Convert to fraction form
    1,694.79/2,542.01 = 770.07/x
  3. Step 3: Cross multiply
    1,694.79x = 2,542.01 × 770.07
  4. Step 4: Simplify right side
    1,694.79x = 1,957,521.79
  5. Step 5: Solve for x
    x = 1,957,521.79/1,694.79
  6. Step 6: Final answer
    x = 1,155.02

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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.