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Finding the Fourth Proportional to 750.78, 1,035.36 and 470.92

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Solution

The fourth proportional to 750.78, 1,035.36 and 470.92 is: 649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.78 : 1,035.36 = 470.92 : x
  2. Step 2: Convert to fraction form
    750.78/1,035.36 = 470.92/x
  3. Step 3: Cross multiply
    750.78x = 1,035.36 × 470.92
  4. Step 4: Simplify right side
    750.78x = 487,571.73
  5. Step 5: Solve for x
    x = 487,571.73/750.78
  6. Step 6: Final answer
    x = 649.42

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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.