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Finding the Fourth Proportional to 1,314.06, 1,971.33 and 655.98

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Solution

The fourth proportional to 1,314.06, 1,971.33 and 655.98 is: 984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.06 : 1,971.33 = 655.98 : x
  2. Step 2: Convert to fraction form
    1,314.06/1,971.33 = 655.98/x
  3. Step 3: Cross multiply
    1,314.06x = 1,971.33 × 655.98
  4. Step 4: Simplify right side
    1,314.06x = 1,293,153.05
  5. Step 5: Solve for x
    x = 1,293,153.05/1,314.06
  6. Step 6: Final answer
    x = 984.09

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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.