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Finding the Fourth Proportional to 601.20, 835.20 and 595.20

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Solution

The fourth proportional to 601.20, 835.20 and 595.20 is: 826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.20 : 835.20 = 595.20 : x
  2. Step 2: Convert to fraction form
    601.20/835.20 = 595.20/x
  3. Step 3: Cross multiply
    601.20x = 835.20 × 595.20
  4. Step 4: Simplify right side
    601.20x = 497,111.04
  5. Step 5: Solve for x
    x = 497,111.04/601.20
  6. Step 6: Final answer
    x = 826.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.