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Finding the Fourth Proportional to 1,064.98, 1,469.90 and 599.38

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Solution

The fourth proportional to 1,064.98, 1,469.90 and 599.38 is: 827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.98 : 1,469.90 = 599.38 : x
  2. Step 2: Convert to fraction form
    1,064.98/1,469.90 = 599.38/x
  3. Step 3: Cross multiply
    1,064.98x = 1,469.90 × 599.38
  4. Step 4: Simplify right side
    1,064.98x = 881,028.66
  5. Step 5: Solve for x
    x = 881,028.66/1,064.98
  6. Step 6: Final answer
    x = 827.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.