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Finding the Fourth Proportional to 871.03, 1,201.95 and 497.94

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Solution

The fourth proportional to 871.03, 1,201.95 and 497.94 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.03 : 1,201.95 = 497.94 : x
  2. Step 2: Convert to fraction form
    871.03/1,201.95 = 497.94/x
  3. Step 3: Cross multiply
    871.03x = 1,201.95 × 497.94
  4. Step 4: Simplify right side
    871.03x = 598,496.46
  5. Step 5: Solve for x
    x = 598,496.46/871.03
  6. Step 6: Final answer
    x = 687.11

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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.