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Finding the Fourth Proportional to 985.80, 1,360.98 and 613.26

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Solution

The fourth proportional to 985.80, 1,360.98 and 613.26 is: 846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.80 : 1,360.98 = 613.26 : x
  2. Step 2: Convert to fraction form
    985.80/1,360.98 = 613.26/x
  3. Step 3: Cross multiply
    985.80x = 1,360.98 × 613.26
  4. Step 4: Simplify right side
    985.80x = 834,634.59
  5. Step 5: Solve for x
    x = 834,634.59/985.80
  6. Step 6: Final answer
    x = 846.66

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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.