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Finding the Fourth Proportional to 991.72, 1,368.66 and 844.84

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Solution

The fourth proportional to 991.72, 1,368.66 and 844.84 is: 1,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.72 : 1,368.66 = 844.84 : x
  2. Step 2: Convert to fraction form
    991.72/1,368.66 = 844.84/x
  3. Step 3: Cross multiply
    991.72x = 1,368.66 × 844.84
  4. Step 4: Simplify right side
    991.72x = 1,156,298.71
  5. Step 5: Solve for x
    x = 1,156,298.71/991.72
  6. Step 6: Final answer
    x = 1,165.95

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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.