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Finding the Fourth Proportional to 1,701.34, 2,552.25 and 531.43

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Solution

The fourth proportional to 1,701.34, 2,552.25 and 531.43 is: 797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.34 : 2,552.25 = 531.43 : x
  2. Step 2: Convert to fraction form
    1,701.34/2,552.25 = 531.43/x
  3. Step 3: Cross multiply
    1,701.34x = 2,552.25 × 531.43
  4. Step 4: Simplify right side
    1,701.34x = 1,356,342.22
  5. Step 5: Solve for x
    x = 1,356,342.22/1,701.34
  6. Step 6: Final answer
    x = 797.22

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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.