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Finding the Fourth Proportional to 1,314.97, 1,971.24 and 493.79

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Solution

The fourth proportional to 1,314.97, 1,971.24 and 493.79 is: 740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.97 : 1,971.24 = 493.79 : x
  2. Step 2: Convert to fraction form
    1,314.97/1,971.24 = 493.79/x
  3. Step 3: Cross multiply
    1,314.97x = 1,971.24 × 493.79
  4. Step 4: Simplify right side
    1,314.97x = 973,374.28
  5. Step 5: Solve for x
    x = 973,374.28/1,314.97
  6. Step 6: Final answer
    x = 740.22

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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.