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Finding the Fourth Proportional to 991.23, 1,486.80 and 414.12

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Solution

The fourth proportional to 991.23, 1,486.80 and 414.12 is: 621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.23 : 1,486.80 = 414.12 : x
  2. Step 2: Convert to fraction form
    991.23/1,486.80 = 414.12/x
  3. Step 3: Cross multiply
    991.23x = 1,486.80 × 414.12
  4. Step 4: Simplify right side
    991.23x = 615,713.62
  5. Step 5: Solve for x
    x = 615,713.62/991.23
  6. Step 6: Final answer
    x = 621.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.