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Finding the Fourth Proportional to 1,479.23, 2,040.96 and 954.63

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Solution

The fourth proportional to 1,479.23, 2,040.96 and 954.63 is: 1,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.23 : 2,040.96 = 954.63 : x
  2. Step 2: Convert to fraction form
    1,479.23/2,040.96 = 954.63/x
  3. Step 3: Cross multiply
    1,479.23x = 2,040.96 × 954.63
  4. Step 4: Simplify right side
    1,479.23x = 1,948,351.44
  5. Step 5: Solve for x
    x = 1,948,351.44/1,479.23
  6. Step 6: Final answer
    x = 1,317.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.