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Finding the Fourth Proportional to 1,116.19, 1,674.35 and 466.27

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Solution

The fourth proportional to 1,116.19, 1,674.35 and 466.27 is: 699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.19 : 1,674.35 = 466.27 : x
  2. Step 2: Convert to fraction form
    1,116.19/1,674.35 = 466.27/x
  3. Step 3: Cross multiply
    1,116.19x = 1,674.35 × 466.27
  4. Step 4: Simplify right side
    1,116.19x = 780,699.17
  5. Step 5: Solve for x
    x = 780,699.17/1,116.19
  6. Step 6: Final answer
    x = 699.43

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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.