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Finding the Fourth Proportional to 653.02, 983.96 and 539.98

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Solution

The fourth proportional to 653.02, 983.96 and 539.98 is: 813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.02 : 983.96 = 539.98 : x
  2. Step 2: Convert to fraction form
    653.02/983.96 = 539.98/x
  3. Step 3: Cross multiply
    653.02x = 983.96 × 539.98
  4. Step 4: Simplify right side
    653.02x = 531,316.02
  5. Step 5: Solve for x
    x = 531,316.02/653.02
  6. Step 6: Final answer
    x = 813.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.