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Finding the Fourth Proportional to 1,086.74, 1,629.32 and 697.18

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Solution

The fourth proportional to 1,086.74, 1,629.32 and 697.18 is: 1,045.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.74 : 1,629.32 = 697.18 : x
  2. Step 2: Convert to fraction form
    1,086.74/1,629.32 = 697.18/x
  3. Step 3: Cross multiply
    1,086.74x = 1,629.32 × 697.18
  4. Step 4: Simplify right side
    1,086.74x = 1,135,929.40
  5. Step 5: Solve for x
    x = 1,135,929.40/1,086.74
  6. Step 6: Final answer
    x = 1,045.26

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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.