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Finding the Fourth Proportional to 821.93, 1,134.25 and 448.91

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Solution

The fourth proportional to 821.93, 1,134.25 and 448.91 is: 619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.93 : 1,134.25 = 448.91 : x
  2. Step 2: Convert to fraction form
    821.93/1,134.25 = 448.91/x
  3. Step 3: Cross multiply
    821.93x = 1,134.25 × 448.91
  4. Step 4: Simplify right side
    821.93x = 509,173.92
  5. Step 5: Solve for x
    x = 509,173.92/821.93
  6. Step 6: Final answer
    x = 619.48

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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.