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Finding the Fourth Proportional to 1,631.88, 2,448.23 and 477.63

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Solution

The fourth proportional to 1,631.88, 2,448.23 and 477.63 is: 716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.88 : 2,448.23 = 477.63 : x
  2. Step 2: Convert to fraction form
    1,631.88/2,448.23 = 477.63/x
  3. Step 3: Cross multiply
    1,631.88x = 2,448.23 × 477.63
  4. Step 4: Simplify right side
    1,631.88x = 1,169,345.71
  5. Step 5: Solve for x
    x = 1,169,345.71/1,631.88
  6. Step 6: Final answer
    x = 716.56

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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.