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Finding the Fourth Proportional to 985.68, 1,360.50 and 566.24

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Solution

The fourth proportional to 985.68, 1,360.50 and 566.24 is: 781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.68 : 1,360.50 = 566.24 : x
  2. Step 2: Convert to fraction form
    985.68/1,360.50 = 566.24/x
  3. Step 3: Cross multiply
    985.68x = 1,360.50 × 566.24
  4. Step 4: Simplify right side
    985.68x = 770,369.52
  5. Step 5: Solve for x
    x = 770,369.52/985.68
  6. Step 6: Final answer
    x = 781.56

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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.