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Finding the Fourth Proportional to 599.89, 895.24 and 522.13

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Solution

The fourth proportional to 599.89, 895.24 and 522.13 is: 779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.89 : 895.24 = 522.13 : x
  2. Step 2: Convert to fraction form
    599.89/895.24 = 522.13/x
  3. Step 3: Cross multiply
    599.89x = 895.24 × 522.13
  4. Step 4: Simplify right side
    599.89x = 467,432.97
  5. Step 5: Solve for x
    x = 467,432.97/599.89
  6. Step 6: Final answer
    x = 779.20

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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.