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Finding the Fourth Proportional to 1,109.54, 1,665.72 and 700.39

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Solution

The fourth proportional to 1,109.54, 1,665.72 and 700.39 is: 1,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.54 : 1,665.72 = 700.39 : x
  2. Step 2: Convert to fraction form
    1,109.54/1,665.72 = 700.39/x
  3. Step 3: Cross multiply
    1,109.54x = 1,665.72 × 700.39
  4. Step 4: Simplify right side
    1,109.54x = 1,166,645.30
  5. Step 5: Solve for x
    x = 1,166,645.30/1,109.54
  6. Step 6: Final answer
    x = 1,051.47

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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.