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Finding the Fourth Proportional to 1,109.62, 1,670.83 and 916.48

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Solution

The fourth proportional to 1,109.62, 1,670.83 and 916.48 is: 1,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.62 : 1,670.83 = 916.48 : x
  2. Step 2: Convert to fraction form
    1,109.62/1,670.83 = 916.48/x
  3. Step 3: Cross multiply
    1,109.62x = 1,670.83 × 916.48
  4. Step 4: Simplify right side
    1,109.62x = 1,531,282.28
  5. Step 5: Solve for x
    x = 1,531,282.28/1,109.62
  6. Step 6: Final answer
    x = 1,380.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.