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Finding the Fourth Proportional to 1,109.76, 1,664.99 and 379.34

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Solution

The fourth proportional to 1,109.76, 1,664.99 and 379.34 is: 569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.76 : 1,664.99 = 379.34 : x
  2. Step 2: Convert to fraction form
    1,109.76/1,664.99 = 379.34/x
  3. Step 3: Cross multiply
    1,109.76x = 1,664.99 × 379.34
  4. Step 4: Simplify right side
    1,109.76x = 631,597.31
  5. Step 5: Solve for x
    x = 631,597.31/1,109.76
  6. Step 6: Final answer
    x = 569.13

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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.