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Finding the Fourth Proportional to 1,109.76, 1,664 and 460.96

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Solution

The fourth proportional to 1,109.76, 1,664 and 460.96 is: 691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.76 : 1,664 = 460.96 : x
  2. Step 2: Convert to fraction form
    1,109.76/1,664 = 460.96/x
  3. Step 3: Cross multiply
    1,109.76x = 1,664 × 460.96
  4. Step 4: Simplify right side
    1,109.76x = 767,037.44
  5. Step 5: Solve for x
    x = 767,037.44/1,109.76
  6. Step 6: Final answer
    x = 691.17

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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.