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Finding the Fourth Proportional to 657.98, 986.01 and 475.76

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Solution

The fourth proportional to 657.98, 986.01 and 475.76 is: 712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.98 : 986.01 = 475.76 : x
  2. Step 2: Convert to fraction form
    657.98/986.01 = 475.76/x
  3. Step 3: Cross multiply
    657.98x = 986.01 × 475.76
  4. Step 4: Simplify right side
    657.98x = 469,104.12
  5. Step 5: Solve for x
    x = 469,104.12/657.98
  6. Step 6: Final answer
    x = 712.95

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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.