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Finding the Fourth Proportional to 1,314.93, 1,972.41 and 493.20

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Solution

The fourth proportional to 1,314.93, 1,972.41 and 493.20 is: 739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.93 : 1,972.41 = 493.20 : x
  2. Step 2: Convert to fraction form
    1,314.93/1,972.41 = 493.20/x
  3. Step 3: Cross multiply
    1,314.93x = 1,972.41 × 493.20
  4. Step 4: Simplify right side
    1,314.93x = 972,792.61
  5. Step 5: Solve for x
    x = 972,792.61/1,314.93
  6. Step 6: Final answer
    x = 739.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.