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Finding the Fourth Proportional to 1,297.20, 1,943.47 and 711.57

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Solution

The fourth proportional to 1,297.20, 1,943.47 and 711.57 is: 1,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.20 : 1,943.47 = 711.57 : x
  2. Step 2: Convert to fraction form
    1,297.20/1,943.47 = 711.57/x
  3. Step 3: Cross multiply
    1,297.20x = 1,943.47 × 711.57
  4. Step 4: Simplify right side
    1,297.20x = 1,382,914.95
  5. Step 5: Solve for x
    x = 1,382,914.95/1,297.20
  6. Step 6: Final answer
    x = 1,066.08

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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.