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Finding the Fourth Proportional to 1,109.39, 1,671.60 and 918.63

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Solution

The fourth proportional to 1,109.39, 1,671.60 and 918.63 is: 1,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.39 : 1,671.60 = 918.63 : x
  2. Step 2: Convert to fraction form
    1,109.39/1,671.60 = 918.63/x
  3. Step 3: Cross multiply
    1,109.39x = 1,671.60 × 918.63
  4. Step 4: Simplify right side
    1,109.39x = 1,535,581.91
  5. Step 5: Solve for x
    x = 1,535,581.91/1,109.39
  6. Step 6: Final answer
    x = 1,384.17

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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.