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Finding the Fourth Proportional to 1,041.47, 1,437.36 and 599.36

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Solution

The fourth proportional to 1,041.47, 1,437.36 and 599.36 is: 827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.47 : 1,437.36 = 599.36 : x
  2. Step 2: Convert to fraction form
    1,041.47/1,437.36 = 599.36/x
  3. Step 3: Cross multiply
    1,041.47x = 1,437.36 × 599.36
  4. Step 4: Simplify right side
    1,041.47x = 861,488.90
  5. Step 5: Solve for x
    x = 861,488.90/1,041.47
  6. Step 6: Final answer
    x = 827.19

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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.