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Finding the Fourth Proportional to 1,695.56, 2,542.66 and 525.29

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Solution

The fourth proportional to 1,695.56, 2,542.66 and 525.29 is: 787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.56 : 2,542.66 = 525.29 : x
  2. Step 2: Convert to fraction form
    1,695.56/2,542.66 = 525.29/x
  3. Step 3: Cross multiply
    1,695.56x = 2,542.66 × 525.29
  4. Step 4: Simplify right side
    1,695.56x = 1,335,634.53
  5. Step 5: Solve for x
    x = 1,335,634.53/1,695.56
  6. Step 6: Final answer
    x = 787.72

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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.