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Finding the Fourth Proportional to 1,479.78, 2,042.07 and 816.63

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Solution

The fourth proportional to 1,479.78, 2,042.07 and 816.63 is: 1,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.78 : 2,042.07 = 816.63 : x
  2. Step 2: Convert to fraction form
    1,479.78/2,042.07 = 816.63/x
  3. Step 3: Cross multiply
    1,479.78x = 2,042.07 × 816.63
  4. Step 4: Simplify right side
    1,479.78x = 1,667,615.62
  5. Step 5: Solve for x
    x = 1,667,615.62/1,479.78
  6. Step 6: Final answer
    x = 1,126.93

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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.