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Finding the Fourth Proportional to 991.70, 1,367.30 and 637.00

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Solution

The fourth proportional to 991.70, 1,367.30 and 637.00 is: 878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.70 : 1,367.30 = 637.00 : x
  2. Step 2: Convert to fraction form
    991.70/1,367.30 = 637.00/x
  3. Step 3: Cross multiply
    991.70x = 1,367.30 × 637.00
  4. Step 4: Simplify right side
    991.70x = 870,968.27
  5. Step 5: Solve for x
    x = 870,968.27/991.70
  6. Step 6: Final answer
    x = 878.26

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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.