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Finding the Fourth Proportional to 1,064.75, 1,469.37 and 599

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Solution

The fourth proportional to 1,064.75, 1,469.37 and 599 is: 826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.75 : 1,469.37 = 599 : x
  2. Step 2: Convert to fraction form
    1,064.75/1,469.37 = 599/x
  3. Step 3: Cross multiply
    1,064.75x = 1,469.37 × 599
  4. Step 4: Simplify right side
    1,064.75x = 880,152.63
  5. Step 5: Solve for x
    x = 880,152.63/1,064.75
  6. Step 6: Final answer
    x = 826.63

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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.