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Finding the Fourth Proportional to 1,314.97, 1,972.49 and 341.03

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Solution

The fourth proportional to 1,314.97, 1,972.49 and 341.03 is: 511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.97 : 1,972.49 = 341.03 : x
  2. Step 2: Convert to fraction form
    1,314.97/1,972.49 = 341.03/x
  3. Step 3: Cross multiply
    1,314.97x = 1,972.49 × 341.03
  4. Step 4: Simplify right side
    1,314.97x = 672,681.49
  5. Step 5: Solve for x
    x = 672,681.49/1,314.97
  6. Step 6: Final answer
    x = 511.56

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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.