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Finding the Fourth Proportional to 871.76, 1,203.06 and 478.78

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Solution

The fourth proportional to 871.76, 1,203.06 and 478.78 is: 660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.76 : 1,203.06 = 478.78 : x
  2. Step 2: Convert to fraction form
    871.76/1,203.06 = 478.78/x
  3. Step 3: Cross multiply
    871.76x = 1,203.06 × 478.78
  4. Step 4: Simplify right side
    871.76x = 576,004.37
  5. Step 5: Solve for x
    x = 576,004.37/871.76
  6. Step 6: Final answer
    x = 660.74

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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.