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Finding the Fourth Proportional to 1,695.67, 2,542.29 and 829.78

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Solution

The fourth proportional to 1,695.67, 2,542.29 and 829.78 is: 1,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.67 : 2,542.29 = 829.78 : x
  2. Step 2: Convert to fraction form
    1,695.67/2,542.29 = 829.78/x
  3. Step 3: Cross multiply
    1,695.67x = 2,542.29 × 829.78
  4. Step 4: Simplify right side
    1,695.67x = 2,109,541.40
  5. Step 5: Solve for x
    x = 2,109,541.40/1,695.67
  6. Step 6: Final answer
    x = 1,244.08

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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.