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Finding the Fourth Proportional to 607.02, 835.25 and 588.80

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Solution

The fourth proportional to 607.02, 835.25 and 588.80 is: 810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.02 : 835.25 = 588.80 : x
  2. Step 2: Convert to fraction form
    607.02/835.25 = 588.80/x
  3. Step 3: Cross multiply
    607.02x = 835.25 × 588.80
  4. Step 4: Simplify right side
    607.02x = 491,795.20
  5. Step 5: Solve for x
    x = 491,795.20/607.02
  6. Step 6: Final answer
    x = 810.18

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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.