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Finding the Fourth Proportional to 1,723.40, 2,584.96 and 569.12

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Solution

The fourth proportional to 1,723.40, 2,584.96 and 569.12 is: 853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.40 : 2,584.96 = 569.12 : x
  2. Step 2: Convert to fraction form
    1,723.40/2,584.96 = 569.12/x
  3. Step 3: Cross multiply
    1,723.40x = 2,584.96 × 569.12
  4. Step 4: Simplify right side
    1,723.40x = 1,471,152.44
  5. Step 5: Solve for x
    x = 1,471,152.44/1,723.40
  6. Step 6: Final answer
    x = 853.63

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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.