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Finding the Fourth Proportional to 1,316.14, 1,974.73 and 494.63

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Solution

The fourth proportional to 1,316.14, 1,974.73 and 494.63 is: 742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.14 : 1,974.73 = 494.63 : x
  2. Step 2: Convert to fraction form
    1,316.14/1,974.73 = 494.63/x
  3. Step 3: Cross multiply
    1,316.14x = 1,974.73 × 494.63
  4. Step 4: Simplify right side
    1,316.14x = 976,760.70
  5. Step 5: Solve for x
    x = 976,760.70/1,316.14
  6. Step 6: Final answer
    x = 742.14

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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.