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Finding the Fourth Proportional to 1,116.27, 1,675.32 and 467.46

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Solution

The fourth proportional to 1,116.27, 1,675.32 and 467.46 is: 701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.27 : 1,675.32 = 467.46 : x
  2. Step 2: Convert to fraction form
    1,116.27/1,675.32 = 467.46/x
  3. Step 3: Cross multiply
    1,116.27x = 1,675.32 × 467.46
  4. Step 4: Simplify right side
    1,116.27x = 783,143.33
  5. Step 5: Solve for x
    x = 783,143.33/1,116.27
  6. Step 6: Final answer
    x = 701.57

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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.