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Finding the Fourth Proportional to 600.84, 902.52 and 520.56

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Solution

The fourth proportional to 600.84, 902.52 and 520.56 is: 781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.84 : 902.52 = 520.56 : x
  2. Step 2: Convert to fraction form
    600.84/902.52 = 520.56/x
  3. Step 3: Cross multiply
    600.84x = 902.52 × 520.56
  4. Step 4: Simplify right side
    600.84x = 469,815.81
  5. Step 5: Solve for x
    x = 469,815.81/600.84
  6. Step 6: Final answer
    x = 781.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.