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Finding the Fourth Proportional to 662.04, 988.16 and 584.21

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Solution

The fourth proportional to 662.04, 988.16 and 584.21 is: 871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.04 : 988.16 = 584.21 : x
  2. Step 2: Convert to fraction form
    662.04/988.16 = 584.21/x
  3. Step 3: Cross multiply
    662.04x = 988.16 × 584.21
  4. Step 4: Simplify right side
    662.04x = 577,288.01
  5. Step 5: Solve for x
    x = 577,288.01/662.04
  6. Step 6: Final answer
    x = 871.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.