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Finding the Fourth Proportional to 596.97, 898.95 and 520.84

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Solution

The fourth proportional to 596.97, 898.95 and 520.84 is: 784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.97 : 898.95 = 520.84 : x
  2. Step 2: Convert to fraction form
    596.97/898.95 = 520.84/x
  3. Step 3: Cross multiply
    596.97x = 898.95 × 520.84
  4. Step 4: Simplify right side
    596.97x = 468,206.87
  5. Step 5: Solve for x
    x = 468,206.87/596.97
  6. Step 6: Final answer
    x = 784.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.