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Finding the Fourth Proportional to 985.80, 1,360.32 and 566.02

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Solution

The fourth proportional to 985.80, 1,360.32 and 566.02 is: 781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.80 : 1,360.32 = 566.02 : x
  2. Step 2: Convert to fraction form
    985.80/1,360.32 = 566.02/x
  3. Step 3: Cross multiply
    985.80x = 1,360.32 × 566.02
  4. Step 4: Simplify right side
    985.80x = 769,961.52
  5. Step 5: Solve for x
    x = 769,961.52/985.80
  6. Step 6: Final answer
    x = 781.05

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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.