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Finding the Fourth Proportional to 1,685.11, 2,527.68 and 590.26

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Solution

The fourth proportional to 1,685.11, 2,527.68 and 590.26 is: 885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.11 : 2,527.68 = 590.26 : x
  2. Step 2: Convert to fraction form
    1,685.11/2,527.68 = 590.26/x
  3. Step 3: Cross multiply
    1,685.11x = 2,527.68 × 590.26
  4. Step 4: Simplify right side
    1,685.11x = 1,491,988.40
  5. Step 5: Solve for x
    x = 1,491,988.40/1,685.11
  6. Step 6: Final answer
    x = 885.40

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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.