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Finding the Fourth Proportional to 1,043.69, 1,439.98 and 601.43

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Solution

The fourth proportional to 1,043.69, 1,439.98 and 601.43 is: 829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.69 : 1,439.98 = 601.43 : x
  2. Step 2: Convert to fraction form
    1,043.69/1,439.98 = 601.43/x
  3. Step 3: Cross multiply
    1,043.69x = 1,439.98 × 601.43
  4. Step 4: Simplify right side
    1,043.69x = 866,038.47
  5. Step 5: Solve for x
    x = 866,038.47/1,043.69
  6. Step 6: Final answer
    x = 829.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.