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Finding the Fourth Proportional to 1,685.29, 2,532.58 and 864.16

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Solution

The fourth proportional to 1,685.29, 2,532.58 and 864.16 is: 1,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.29 : 2,532.58 = 864.16 : x
  2. Step 2: Convert to fraction form
    1,685.29/2,532.58 = 864.16/x
  3. Step 3: Cross multiply
    1,685.29x = 2,532.58 × 864.16
  4. Step 4: Simplify right side
    1,685.29x = 2,188,554.33
  5. Step 5: Solve for x
    x = 2,188,554.33/1,685.29
  6. Step 6: Final answer
    x = 1,298.62

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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.