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Finding the Fourth Proportional to 1,041.57, 1,437.26 and 599.49

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Solution

The fourth proportional to 1,041.57, 1,437.26 and 599.49 is: 827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.57 : 1,437.26 = 599.49 : x
  2. Step 2: Convert to fraction form
    1,041.57/1,437.26 = 599.49/x
  3. Step 3: Cross multiply
    1,041.57x = 1,437.26 × 599.49
  4. Step 4: Simplify right side
    1,041.57x = 861,620.00
  5. Step 5: Solve for x
    x = 861,620.00/1,041.57
  6. Step 6: Final answer
    x = 827.23

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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.