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Finding the Fourth Proportional to 785.84, 1,081.98 and 598.73

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Solution

The fourth proportional to 785.84, 1,081.98 and 598.73 is: 824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.84 : 1,081.98 = 598.73 : x
  2. Step 2: Convert to fraction form
    785.84/1,081.98 = 598.73/x
  3. Step 3: Cross multiply
    785.84x = 1,081.98 × 598.73
  4. Step 4: Simplify right side
    785.84x = 647,816.59
  5. Step 5: Solve for x
    x = 647,816.59/785.84
  6. Step 6: Final answer
    x = 824.36

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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.