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Finding the Fourth Proportional to 1,684.49, 2,523.90 and 588.29

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Solution

The fourth proportional to 1,684.49, 2,523.90 and 588.29 is: 881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.49 : 2,523.90 = 588.29 : x
  2. Step 2: Convert to fraction form
    1,684.49/2,523.90 = 588.29/x
  3. Step 3: Cross multiply
    1,684.49x = 2,523.90 × 588.29
  4. Step 4: Simplify right side
    1,684.49x = 1,484,785.13
  5. Step 5: Solve for x
    x = 1,484,785.13/1,684.49
  6. Step 6: Final answer
    x = 881.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.