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Finding the Fourth Proportional to 1,763.62, 2,645.40 and 593.88

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Solution

The fourth proportional to 1,763.62, 2,645.40 and 593.88 is: 890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.62 : 2,645.40 = 593.88 : x
  2. Step 2: Convert to fraction form
    1,763.62/2,645.40 = 593.88/x
  3. Step 3: Cross multiply
    1,763.62x = 2,645.40 × 593.88
  4. Step 4: Simplify right side
    1,763.62x = 1,571,036.93
  5. Step 5: Solve for x
    x = 1,571,036.93/1,763.62
  6. Step 6: Final answer
    x = 890.80

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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.