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Finding the Fourth Proportional to 1,685.43, 2,526.45 and 807.69

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Solution

The fourth proportional to 1,685.43, 2,526.45 and 807.69 is: 1,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.43 : 2,526.45 = 807.69 : x
  2. Step 2: Convert to fraction form
    1,685.43/2,526.45 = 807.69/x
  3. Step 3: Cross multiply
    1,685.43x = 2,526.45 × 807.69
  4. Step 4: Simplify right side
    1,685.43x = 2,040,588.40
  5. Step 5: Solve for x
    x = 2,040,588.40/1,685.43
  6. Step 6: Final answer
    x = 1,210.72

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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.