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Finding the Fourth Proportional to 1,314.14, 1,971.57 and 697.74

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Solution

The fourth proportional to 1,314.14, 1,971.57 and 697.74 is: 1,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.14 : 1,971.57 = 697.74 : x
  2. Step 2: Convert to fraction form
    1,314.14/1,971.57 = 697.74/x
  3. Step 3: Cross multiply
    1,314.14x = 1,971.57 × 697.74
  4. Step 4: Simplify right side
    1,314.14x = 1,375,643.25
  5. Step 5: Solve for x
    x = 1,375,643.25/1,314.14
  6. Step 6: Final answer
    x = 1,046.81

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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.