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Finding the Fourth Proportional to 785.35, 1,083.95 and 598.56

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Solution

The fourth proportional to 785.35, 1,083.95 and 598.56 is: 826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.35 : 1,083.95 = 598.56 : x
  2. Step 2: Convert to fraction form
    785.35/1,083.95 = 598.56/x
  3. Step 3: Cross multiply
    785.35x = 1,083.95 × 598.56
  4. Step 4: Simplify right side
    785.35x = 648,809.11
  5. Step 5: Solve for x
    x = 648,809.11/785.35
  6. Step 6: Final answer
    x = 826.14

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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.