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Finding the Fourth Proportional to 991.02, 1,366.10 and 816.06

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Solution

The fourth proportional to 991.02, 1,366.10 and 816.06 is: 1,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.02 : 1,366.10 = 816.06 : x
  2. Step 2: Convert to fraction form
    991.02/1,366.10 = 816.06/x
  3. Step 3: Cross multiply
    991.02x = 1,366.10 × 816.06
  4. Step 4: Simplify right side
    991.02x = 1,114,819.57
  5. Step 5: Solve for x
    x = 1,114,819.57/991.02
  6. Step 6: Final answer
    x = 1,124.92

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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.