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Finding the Fourth Proportional to 599.52, 894.84 and 523.14

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Solution

The fourth proportional to 599.52, 894.84 and 523.14 is: 780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.52 : 894.84 = 523.14 : x
  2. Step 2: Convert to fraction form
    599.52/894.84 = 523.14/x
  3. Step 3: Cross multiply
    599.52x = 894.84 × 523.14
  4. Step 4: Simplify right side
    599.52x = 468,126.60
  5. Step 5: Solve for x
    x = 468,126.60/599.52
  6. Step 6: Final answer
    x = 780.84

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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.