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Finding the Fourth Proportional to 750.78, 1,036.44 and 515.97

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Solution

The fourth proportional to 750.78, 1,036.44 and 515.97 is: 712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.78 : 1,036.44 = 515.97 : x
  2. Step 2: Convert to fraction form
    750.78/1,036.44 = 515.97/x
  3. Step 3: Cross multiply
    750.78x = 1,036.44 × 515.97
  4. Step 4: Simplify right side
    750.78x = 534,771.95
  5. Step 5: Solve for x
    x = 534,771.95/750.78
  6. Step 6: Final answer
    x = 712.29

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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.