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Finding the Fourth Proportional to 1,112.27, 1,668.59 and 463.05

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Solution

The fourth proportional to 1,112.27, 1,668.59 and 463.05 is: 694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.27 : 1,668.59 = 463.05 : x
  2. Step 2: Convert to fraction form
    1,112.27/1,668.59 = 463.05/x
  3. Step 3: Cross multiply
    1,112.27x = 1,668.59 × 463.05
  4. Step 4: Simplify right side
    1,112.27x = 772,638.28
  5. Step 5: Solve for x
    x = 772,638.28/1,112.27
  6. Step 6: Final answer
    x = 694.65

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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.