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Finding the Fourth Proportional to 599.85, 898.70 and 523.05

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Solution

The fourth proportional to 599.85, 898.70 and 523.05 is: 783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.85 : 898.70 = 523.05 : x
  2. Step 2: Convert to fraction form
    599.85/898.70 = 523.05/x
  3. Step 3: Cross multiply
    599.85x = 898.70 × 523.05
  4. Step 4: Simplify right side
    599.85x = 470,062.42
  5. Step 5: Solve for x
    x = 470,062.42/599.85
  6. Step 6: Final answer
    x = 783.63

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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.