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Finding the Fourth Proportional to 871.65, 1,203.13 and 498.83

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Solution

The fourth proportional to 871.65, 1,203.13 and 498.83 is: 688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.65 : 1,203.13 = 498.83 : x
  2. Step 2: Convert to fraction form
    871.65/1,203.13 = 498.83/x
  3. Step 3: Cross multiply
    871.65x = 1,203.13 × 498.83
  4. Step 4: Simplify right side
    871.65x = 600,157.34
  5. Step 5: Solve for x
    x = 600,157.34/871.65
  6. Step 6: Final answer
    x = 688.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.