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Finding the Fourth Proportional to 662.34, 913.38 and 610.02

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Solution

The fourth proportional to 662.34, 913.38 and 610.02 is: 841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.34 : 913.38 = 610.02 : x
  2. Step 2: Convert to fraction form
    662.34/913.38 = 610.02/x
  3. Step 3: Cross multiply
    662.34x = 913.38 × 610.02
  4. Step 4: Simplify right side
    662.34x = 557,180.07
  5. Step 5: Solve for x
    x = 557,180.07/662.34
  6. Step 6: Final answer
    x = 841.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.