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Finding the Fourth Proportional to 657.83, 987.05 and 650.24

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Solution

The fourth proportional to 657.83, 987.05 and 650.24 is: 975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.83 : 987.05 = 650.24 : x
  2. Step 2: Convert to fraction form
    657.83/987.05 = 650.24/x
  3. Step 3: Cross multiply
    657.83x = 987.05 × 650.24
  4. Step 4: Simplify right side
    657.83x = 641,819.39
  5. Step 5: Solve for x
    x = 641,819.39/657.83
  6. Step 6: Final answer
    x = 975.66

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