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Finding the Fourth Proportional to 1,109.75, 1,664.66 and 340.25

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Solution

The fourth proportional to 1,109.75, 1,664.66 and 340.25 is: 510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.75 : 1,664.66 = 340.25 : x
  2. Step 2: Convert to fraction form
    1,109.75/1,664.66 = 340.25/x
  3. Step 3: Cross multiply
    1,109.75x = 1,664.66 × 340.25
  4. Step 4: Simplify right side
    1,109.75x = 566,398.86
  5. Step 5: Solve for x
    x = 566,398.86/1,109.75
  6. Step 6: Final answer
    x = 510.38

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