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Finding the Fourth Proportional to 642.49, 964.65 and 613.13

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Solution

The fourth proportional to 642.49, 964.65 and 613.13 is: 920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.49 : 964.65 = 613.13 : x
  2. Step 2: Convert to fraction form
    642.49/964.65 = 613.13/x
  3. Step 3: Cross multiply
    642.49x = 964.65 × 613.13
  4. Step 4: Simplify right side
    642.49x = 591,457.03
  5. Step 5: Solve for x
    x = 591,457.03/642.49
  6. Step 6: Final answer
    x = 920.57

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Why These Related Problems?

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