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Finding the Fourth Proportional to 1,111.69, 1,668.39 and 1,054.59

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Solution

The fourth proportional to 1,111.69, 1,668.39 and 1,054.59 is: 1,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.69 : 1,668.39 = 1,054.59 : x
  2. Step 2: Convert to fraction form
    1,111.69/1,668.39 = 1,054.59/x
  3. Step 3: Cross multiply
    1,111.69x = 1,668.39 × 1,054.59
  4. Step 4: Simplify right side
    1,111.69x = 1,759,467.41
  5. Step 5: Solve for x
    x = 1,759,467.41/1,111.69
  6. Step 6: Final answer
    x = 1,582.70

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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.