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Finding the Fourth Proportional to 652.04, 894.60 and 596.96

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Solution

The fourth proportional to 652.04, 894.60 and 596.96 is: 819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.04 : 894.60 = 596.96 : x
  2. Step 2: Convert to fraction form
    652.04/894.60 = 596.96/x
  3. Step 3: Cross multiply
    652.04x = 894.60 × 596.96
  4. Step 4: Simplify right side
    652.04x = 534,040.42
  5. Step 5: Solve for x
    x = 534,040.42/652.04
  6. Step 6: Final answer
    x = 819.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.