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Finding the Fourth Proportional to 991.05, 1,367.62 and 641.74

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Solution

The fourth proportional to 991.05, 1,367.62 and 641.74 is: 885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.05 : 1,367.62 = 641.74 : x
  2. Step 2: Convert to fraction form
    991.05/1,367.62 = 641.74/x
  3. Step 3: Cross multiply
    991.05x = 1,367.62 × 641.74
  4. Step 4: Simplify right side
    991.05x = 877,656.46
  5. Step 5: Solve for x
    x = 877,656.46/991.05
  6. Step 6: Final answer
    x = 885.58

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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.