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Finding the Fourth Proportional to 780.29, 1,076.69 and 448.73

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Solution

The fourth proportional to 780.29, 1,076.69 and 448.73 is: 619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.29 : 1,076.69 = 448.73 : x
  2. Step 2: Convert to fraction form
    780.29/1,076.69 = 448.73/x
  3. Step 3: Cross multiply
    780.29x = 1,076.69 × 448.73
  4. Step 4: Simplify right side
    780.29x = 483,140.86
  5. Step 5: Solve for x
    x = 483,140.86/780.29
  6. Step 6: Final answer
    x = 619.18

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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.