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Finding the Fourth Proportional to 785.00, 1,083.13 and 448.99

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Solution

The fourth proportional to 785.00, 1,083.13 and 448.99 is: 619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.00 : 1,083.13 = 448.99 : x
  2. Step 2: Convert to fraction form
    785.00/1,083.13 = 448.99/x
  3. Step 3: Cross multiply
    785.00x = 1,083.13 × 448.99
  4. Step 4: Simplify right side
    785.00x = 486,310.71
  5. Step 5: Solve for x
    x = 486,310.71/785.00
  6. Step 6: Final answer
    x = 619.50

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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.