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Finding the Fourth Proportional to 1,763.13, 2,645.09 and 593.18

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Solution

The fourth proportional to 1,763.13, 2,645.09 and 593.18 is: 889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.13 : 2,645.09 = 593.18 : x
  2. Step 2: Convert to fraction form
    1,763.13/2,645.09 = 593.18/x
  3. Step 3: Cross multiply
    1,763.13x = 2,645.09 × 593.18
  4. Step 4: Simplify right side
    1,763.13x = 1,569,014.49
  5. Step 5: Solve for x
    x = 1,569,014.49/1,763.13
  6. Step 6: Final answer
    x = 889.90

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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.