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Finding the Fourth Proportional to 1,799.64, 2,698.70 and 566.72

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Solution

The fourth proportional to 1,799.64, 2,698.70 and 566.72 is: 849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.64 : 2,698.70 = 566.72 : x
  2. Step 2: Convert to fraction form
    1,799.64/2,698.70 = 566.72/x
  3. Step 3: Cross multiply
    1,799.64x = 2,698.70 × 566.72
  4. Step 4: Simplify right side
    1,799.64x = 1,529,407.26
  5. Step 5: Solve for x
    x = 1,529,407.26/1,799.64
  6. Step 6: Final answer
    x = 849.84

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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.