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Finding the Fourth Proportional to 642.93, 965.48 and 610.05

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Solution

The fourth proportional to 642.93, 965.48 and 610.05 is: 916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.93 : 965.48 = 610.05 : x
  2. Step 2: Convert to fraction form
    642.93/965.48 = 610.05/x
  3. Step 3: Cross multiply
    642.93x = 965.48 × 610.05
  4. Step 4: Simplify right side
    642.93x = 588,991.07
  5. Step 5: Solve for x
    x = 588,991.07/642.93
  6. Step 6: Final answer
    x = 916.10

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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.