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Finding the Fourth Proportional to 717.86, 1,076.78 and 474.33

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Solution

The fourth proportional to 717.86, 1,076.78 and 474.33 is: 711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.86 : 1,076.78 = 474.33 : x
  2. Step 2: Convert to fraction form
    717.86/1,076.78 = 474.33/x
  3. Step 3: Cross multiply
    717.86x = 1,076.78 × 474.33
  4. Step 4: Simplify right side
    717.86x = 510,746.21
  5. Step 5: Solve for x
    x = 510,746.21/717.86
  6. Step 6: Final answer
    x = 711.49

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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.