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Finding the Fourth Proportional to 991.78, 1,367.76 and 875.14

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Solution

The fourth proportional to 991.78, 1,367.76 and 875.14 is: 1,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.78 : 1,367.76 = 875.14 : x
  2. Step 2: Convert to fraction form
    991.78/1,367.76 = 875.14/x
  3. Step 3: Cross multiply
    991.78x = 1,367.76 × 875.14
  4. Step 4: Simplify right side
    991.78x = 1,196,981.49
  5. Step 5: Solve for x
    x = 1,196,981.49/991.78
  6. Step 6: Final answer
    x = 1,206.90

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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.