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Finding the Fourth Proportional to 1,109.75, 1,663.72 and 460.95

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Solution

The fourth proportional to 1,109.75, 1,663.72 and 460.95 is: 691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.75 : 1,663.72 = 460.95 : x
  2. Step 2: Convert to fraction form
    1,109.75/1,663.72 = 460.95/x
  3. Step 3: Cross multiply
    1,109.75x = 1,663.72 × 460.95
  4. Step 4: Simplify right side
    1,109.75x = 766,889.43
  5. Step 5: Solve for x
    x = 766,889.43/1,109.75
  6. Step 6: Final answer
    x = 691.05

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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.