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Finding the Fourth Proportional to 1,798.52, 2,697.75 and 464.30

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Solution

The fourth proportional to 1,798.52, 2,697.75 and 464.30 is: 696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.52 : 2,697.75 = 464.30 : x
  2. Step 2: Convert to fraction form
    1,798.52/2,697.75 = 464.30/x
  3. Step 3: Cross multiply
    1,798.52x = 2,697.75 × 464.30
  4. Step 4: Simplify right side
    1,798.52x = 1,252,551.84
  5. Step 5: Solve for x
    x = 1,252,551.84/1,798.52
  6. Step 6: Final answer
    x = 696.44

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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.