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Finding the Fourth Proportional to 657.60, 985.79 and 600.53

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Solution

The fourth proportional to 657.60, 985.79 and 600.53 is: 900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.60 : 985.79 = 600.53 : x
  2. Step 2: Convert to fraction form
    657.60/985.79 = 600.53/x
  3. Step 3: Cross multiply
    657.60x = 985.79 × 600.53
  4. Step 4: Simplify right side
    657.60x = 591,996.47
  5. Step 5: Solve for x
    x = 591,996.47/657.60
  6. Step 6: Final answer
    x = 900.24

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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.