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Finding the Fourth Proportional to 1,043.48, 1,565.26 and 350.22

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Solution

The fourth proportional to 1,043.48, 1,565.26 and 350.22 is: 525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.48 : 1,565.26 = 350.22 : x
  2. Step 2: Convert to fraction form
    1,043.48/1,565.26 = 350.22/x
  3. Step 3: Cross multiply
    1,043.48x = 1,565.26 × 350.22
  4. Step 4: Simplify right side
    1,043.48x = 548,185.36
  5. Step 5: Solve for x
    x = 548,185.36/1,043.48
  6. Step 6: Final answer
    x = 525.34

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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.