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Finding the Fourth Proportional to 598.02, 892.38 and 536.73

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Solution

The fourth proportional to 598.02, 892.38 and 536.73 is: 800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.02 : 892.38 = 536.73 : x
  2. Step 2: Convert to fraction form
    598.02/892.38 = 536.73/x
  3. Step 3: Cross multiply
    598.02x = 892.38 × 536.73
  4. Step 4: Simplify right side
    598.02x = 478,967.12
  5. Step 5: Solve for x
    x = 478,967.12/598.02
  6. Step 6: Final answer
    x = 800.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.