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Finding the Fourth Proportional to 1,314.72, 1,971.76 and 493

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Solution

The fourth proportional to 1,314.72, 1,971.76 and 493 is: 739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.72 : 1,971.76 = 493 : x
  2. Step 2: Convert to fraction form
    1,314.72/1,971.76 = 493/x
  3. Step 3: Cross multiply
    1,314.72x = 1,971.76 × 493
  4. Step 4: Simplify right side
    1,314.72x = 972,077.68
  5. Step 5: Solve for x
    x = 972,077.68/1,314.72
  6. Step 6: Final answer
    x = 739.38

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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.