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Finding the Fourth Proportional to 1,109.95, 1,663.64 and 459.88

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Solution

The fourth proportional to 1,109.95, 1,663.64 and 459.88 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.95 : 1,663.64 = 459.88 : x
  2. Step 2: Convert to fraction form
    1,109.95/1,663.64 = 459.88/x
  3. Step 3: Cross multiply
    1,109.95x = 1,663.64 × 459.88
  4. Step 4: Simplify right side
    1,109.95x = 765,064.15
  5. Step 5: Solve for x
    x = 765,064.15/1,109.95
  6. Step 6: Final answer
    x = 689.28

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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.