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Finding the Fourth Proportional to 1,043.72, 1,565.61 and 350.41

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Solution

The fourth proportional to 1,043.72, 1,565.61 and 350.41 is: 525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.72 : 1,565.61 = 350.41 : x
  2. Step 2: Convert to fraction form
    1,043.72/1,565.61 = 350.41/x
  3. Step 3: Cross multiply
    1,043.72x = 1,565.61 × 350.41
  4. Step 4: Simplify right side
    1,043.72x = 548,606.04
  5. Step 5: Solve for x
    x = 548,606.04/1,043.72
  6. Step 6: Final answer
    x = 525.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.