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Finding the Fourth Proportional to 785.11, 1,080.97 and 598

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Solution

The fourth proportional to 785.11, 1,080.97 and 598 is: 823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.11 : 1,080.97 = 598 : x
  2. Step 2: Convert to fraction form
    785.11/1,080.97 = 598/x
  3. Step 3: Cross multiply
    785.11x = 1,080.97 × 598
  4. Step 4: Simplify right side
    785.11x = 646,420.06
  5. Step 5: Solve for x
    x = 646,420.06/785.11
  6. Step 6: Final answer
    x = 823.35

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Why These Related Problems?

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