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Finding the Fourth Proportional to 1,763.24, 2,644.56 and 464.72

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Solution

The fourth proportional to 1,763.24, 2,644.56 and 464.72 is: 697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.24 : 2,644.56 = 464.72 : x
  2. Step 2: Convert to fraction form
    1,763.24/2,644.56 = 464.72/x
  3. Step 3: Cross multiply
    1,763.24x = 2,644.56 × 464.72
  4. Step 4: Simplify right side
    1,763.24x = 1,228,979.92
  5. Step 5: Solve for x
    x = 1,228,979.92/1,763.24
  6. Step 6: Final answer
    x = 697.00

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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.