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Finding the Fourth Proportional to 1,763.34, 2,645.12 and 593.25

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Solution

The fourth proportional to 1,763.34, 2,645.12 and 593.25 is: 889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.34 : 2,645.12 = 593.25 : x
  2. Step 2: Convert to fraction form
    1,763.34/2,645.12 = 593.25/x
  3. Step 3: Cross multiply
    1,763.34x = 2,645.12 × 593.25
  4. Step 4: Simplify right side
    1,763.34x = 1,569,217.44
  5. Step 5: Solve for x
    x = 1,569,217.44/1,763.34
  6. Step 6: Final answer
    x = 889.91

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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.