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Finding the Fourth Proportional to 1,763.27, 2,645.21 and 593.39

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Solution

The fourth proportional to 1,763.27, 2,645.21 and 593.39 is: 890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.27 : 2,645.21 = 593.39 : x
  2. Step 2: Convert to fraction form
    1,763.27/2,645.21 = 593.39/x
  3. Step 3: Cross multiply
    1,763.27x = 2,645.21 × 593.39
  4. Step 4: Simplify right side
    1,763.27x = 1,569,641.16
  5. Step 5: Solve for x
    x = 1,569,641.16/1,763.27
  6. Step 6: Final answer
    x = 890.19

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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.