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Finding the Fourth Proportional to 1,248.63, 1,723.37 and 829.01

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Solution

The fourth proportional to 1,248.63, 1,723.37 and 829.01 is: 1,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.63 : 1,723.37 = 829.01 : x
  2. Step 2: Convert to fraction form
    1,248.63/1,723.37 = 829.01/x
  3. Step 3: Cross multiply
    1,248.63x = 1,723.37 × 829.01
  4. Step 4: Simplify right side
    1,248.63x = 1,428,690.96
  5. Step 5: Solve for x
    x = 1,428,690.96/1,248.63
  6. Step 6: Final answer
    x = 1,144.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.