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Finding the Fourth Proportional to 1,041.41, 1,437.10 and 599.22

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Solution

The fourth proportional to 1,041.41, 1,437.10 and 599.22 is: 826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.41 : 1,437.10 = 599.22 : x
  2. Step 2: Convert to fraction form
    1,041.41/1,437.10 = 599.22/x
  3. Step 3: Cross multiply
    1,041.41x = 1,437.10 × 599.22
  4. Step 4: Simplify right side
    1,041.41x = 861,137.56
  5. Step 5: Solve for x
    x = 861,137.56/1,041.41
  6. Step 6: Final answer
    x = 826.89

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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.