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Finding the Fourth Proportional to 1,116.75, 1,675.16 and 423.47

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Solution

The fourth proportional to 1,116.75, 1,675.16 and 423.47 is: 635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.75 : 1,675.16 = 423.47 : x
  2. Step 2: Convert to fraction form
    1,116.75/1,675.16 = 423.47/x
  3. Step 3: Cross multiply
    1,116.75x = 1,675.16 × 423.47
  4. Step 4: Simplify right side
    1,116.75x = 709,376.88
  5. Step 5: Solve for x
    x = 709,376.88/1,116.75
  6. Step 6: Final answer
    x = 635.22

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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.