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Finding the Fourth Proportional to 871.66, 1,202.93 and 498.71

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Solution

The fourth proportional to 871.66, 1,202.93 and 498.71 is: 688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.66 : 1,202.93 = 498.71 : x
  2. Step 2: Convert to fraction form
    871.66/1,202.93 = 498.71/x
  3. Step 3: Cross multiply
    871.66x = 1,202.93 × 498.71
  4. Step 4: Simplify right side
    871.66x = 599,907.44
  5. Step 5: Solve for x
    x = 599,907.44/871.66
  6. Step 6: Final answer
    x = 688.23

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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.