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Finding the Fourth Proportional to 1,003.40, 1,384.44 and 599.56

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Solution

The fourth proportional to 1,003.40, 1,384.44 and 599.56 is: 827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.40 : 1,384.44 = 599.56 : x
  2. Step 2: Convert to fraction form
    1,003.40/1,384.44 = 599.56/x
  3. Step 3: Cross multiply
    1,003.40x = 1,384.44 × 599.56
  4. Step 4: Simplify right side
    1,003.40x = 830,054.85
  5. Step 5: Solve for x
    x = 830,054.85/1,003.40
  6. Step 6: Final answer
    x = 827.24

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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.