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Finding the Fourth Proportional to 657.21, 982.98 and 624

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Solution

The fourth proportional to 657.21, 982.98 and 624 is: 933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.21 : 982.98 = 624 : x
  2. Step 2: Convert to fraction form
    657.21/982.98 = 624/x
  3. Step 3: Cross multiply
    657.21x = 982.98 × 624
  4. Step 4: Simplify right side
    657.21x = 613,379.52
  5. Step 5: Solve for x
    x = 613,379.52/657.21
  6. Step 6: Final answer
    x = 933.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.