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Finding the Fourth Proportional to 891.19, 1,337 and 314.06

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Solution

The fourth proportional to 891.19, 1,337 and 314.06 is: 471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.19 : 1,337 = 314.06 : x
  2. Step 2: Convert to fraction form
    891.19/1,337 = 314.06/x
  3. Step 3: Cross multiply
    891.19x = 1,337 × 314.06
  4. Step 4: Simplify right side
    891.19x = 419,898.22
  5. Step 5: Solve for x
    x = 419,898.22/891.19
  6. Step 6: Final answer
    x = 471.17

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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.