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Finding the Fourth Proportional to 1,316.42, 1,974.48 and 494.61

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Solution

The fourth proportional to 1,316.42, 1,974.48 and 494.61 is: 741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.42 : 1,974.48 = 494.61 : x
  2. Step 2: Convert to fraction form
    1,316.42/1,974.48 = 494.61/x
  3. Step 3: Cross multiply
    1,316.42x = 1,974.48 × 494.61
  4. Step 4: Simplify right side
    1,316.42x = 976,588.29
  5. Step 5: Solve for x
    x = 976,588.29/1,316.42
  6. Step 6: Final answer
    x = 741.85

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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.