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Finding the Fourth Proportional to 985.92, 1,360.45 and 566.29

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Solution

The fourth proportional to 985.92, 1,360.45 and 566.29 is: 781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.92 : 1,360.45 = 566.29 : x
  2. Step 2: Convert to fraction form
    985.92/1,360.45 = 566.29/x
  3. Step 3: Cross multiply
    985.92x = 1,360.45 × 566.29
  4. Step 4: Simplify right side
    985.92x = 770,408.45
  5. Step 5: Solve for x
    x = 770,408.45/985.92
  6. Step 6: Final answer
    x = 781.41

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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.