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Finding the Fourth Proportional to 1,695.23, 2,542.07 and 770.75

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Solution

The fourth proportional to 1,695.23, 2,542.07 and 770.75 is: 1,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.23 : 2,542.07 = 770.75 : x
  2. Step 2: Convert to fraction form
    1,695.23/2,542.07 = 770.75/x
  3. Step 3: Cross multiply
    1,695.23x = 2,542.07 × 770.75
  4. Step 4: Simplify right side
    1,695.23x = 1,959,300.45
  5. Step 5: Solve for x
    x = 1,959,300.45/1,695.23
  6. Step 6: Final answer
    x = 1,155.77

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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.