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Finding the Fourth Proportional to 1,792.01, 2,685.05 and 695.78

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Solution

The fourth proportional to 1,792.01, 2,685.05 and 695.78 is: 1,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.01 : 2,685.05 = 695.78 : x
  2. Step 2: Convert to fraction form
    1,792.01/2,685.05 = 695.78/x
  3. Step 3: Cross multiply
    1,792.01x = 2,685.05 × 695.78
  4. Step 4: Simplify right side
    1,792.01x = 1,868,204.09
  5. Step 5: Solve for x
    x = 1,868,204.09/1,792.01
  6. Step 6: Final answer
    x = 1,042.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.