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Finding the Fourth Proportional to 746.12, 1,029.84 and 599.24

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Solution

The fourth proportional to 746.12, 1,029.84 and 599.24 is: 827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.12 : 1,029.84 = 599.24 : x
  2. Step 2: Convert to fraction form
    746.12/1,029.84 = 599.24/x
  3. Step 3: Cross multiply
    746.12x = 1,029.84 × 599.24
  4. Step 4: Simplify right side
    746.12x = 617,121.32
  5. Step 5: Solve for x
    x = 617,121.32/746.12
  6. Step 6: Final answer
    x = 827.11

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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.