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Finding the Fourth Proportional to 610.61, 840.17 and 596.03

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Solution

The fourth proportional to 610.61, 840.17 and 596.03 is: 820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.61 : 840.17 = 596.03 : x
  2. Step 2: Convert to fraction form
    610.61/840.17 = 596.03/x
  3. Step 3: Cross multiply
    610.61x = 840.17 × 596.03
  4. Step 4: Simplify right side
    610.61x = 500,763.81
  5. Step 5: Solve for x
    x = 500,763.81/610.61
  6. Step 6: Final answer
    x = 820.11

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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.