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Finding the Fourth Proportional to 1,314.66, 1,972.19 and 493.05

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Solution

The fourth proportional to 1,314.66, 1,972.19 and 493.05 is: 739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.66 : 1,972.19 = 493.05 : x
  2. Step 2: Convert to fraction form
    1,314.66/1,972.19 = 493.05/x
  3. Step 3: Cross multiply
    1,314.66x = 1,972.19 × 493.05
  4. Step 4: Simplify right side
    1,314.66x = 972,388.28
  5. Step 5: Solve for x
    x = 972,388.28/1,314.66
  6. Step 6: Final answer
    x = 739.65

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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.