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Finding the Fourth Proportional to 599.89, 899.01 and 534.82

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Solution

The fourth proportional to 599.89, 899.01 and 534.82 is: 801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.89 : 899.01 = 534.82 : x
  2. Step 2: Convert to fraction form
    599.89/899.01 = 534.82/x
  3. Step 3: Cross multiply
    599.89x = 899.01 × 534.82
  4. Step 4: Simplify right side
    599.89x = 480,808.53
  5. Step 5: Solve for x
    x = 480,808.53/599.89
  6. Step 6: Final answer
    x = 801.49

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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.