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Finding the Fourth Proportional to 1,685.32, 2,528.38 and 531.06

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Solution

The fourth proportional to 1,685.32, 2,528.38 and 531.06 is: 796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.32 : 2,528.38 = 531.06 : x
  2. Step 2: Convert to fraction form
    1,685.32/2,528.38 = 531.06/x
  3. Step 3: Cross multiply
    1,685.32x = 2,528.38 × 531.06
  4. Step 4: Simplify right side
    1,685.32x = 1,342,721.48
  5. Step 5: Solve for x
    x = 1,342,721.48/1,685.32
  6. Step 6: Final answer
    x = 796.72

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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.