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Finding the Fourth Proportional to 1,799.03, 2,697.23 and 565.77

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Solution

The fourth proportional to 1,799.03, 2,697.23 and 565.77 is: 848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.03 : 2,697.23 = 565.77 : x
  2. Step 2: Convert to fraction form
    1,799.03/2,697.23 = 565.77/x
  3. Step 3: Cross multiply
    1,799.03x = 2,697.23 × 565.77
  4. Step 4: Simplify right side
    1,799.03x = 1,526,011.82
  5. Step 5: Solve for x
    x = 1,526,011.82/1,799.03
  6. Step 6: Final answer
    x = 848.24

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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.