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Finding the Fourth Proportional to 1,111.95, 1,668.83 and 564.29

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Solution

The fourth proportional to 1,111.95, 1,668.83 and 564.29 is: 846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.95 : 1,668.83 = 564.29 : x
  2. Step 2: Convert to fraction form
    1,111.95/1,668.83 = 564.29/x
  3. Step 3: Cross multiply
    1,111.95x = 1,668.83 × 564.29
  4. Step 4: Simplify right side
    1,111.95x = 941,704.08
  5. Step 5: Solve for x
    x = 941,704.08/1,111.95
  6. Step 6: Final answer
    x = 846.89

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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.