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Finding the Fourth Proportional to 985.80, 1,360.38 and 566.07

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Solution

The fourth proportional to 985.80, 1,360.38 and 566.07 is: 781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.80 : 1,360.38 = 566.07 : x
  2. Step 2: Convert to fraction form
    985.80/1,360.38 = 566.07/x
  3. Step 3: Cross multiply
    985.80x = 1,360.38 × 566.07
  4. Step 4: Simplify right side
    985.80x = 770,070.31
  5. Step 5: Solve for x
    x = 770,070.31/985.80
  6. Step 6: Final answer
    x = 781.16

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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.