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Finding the Fourth Proportional to 1,229.72, 1,841.69 and 643.32

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Solution

The fourth proportional to 1,229.72, 1,841.69 and 643.32 is: 963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.72 : 1,841.69 = 643.32 : x
  2. Step 2: Convert to fraction form
    1,229.72/1,841.69 = 643.32/x
  3. Step 3: Cross multiply
    1,229.72x = 1,841.69 × 643.32
  4. Step 4: Simplify right side
    1,229.72x = 1,184,792.79
  5. Step 5: Solve for x
    x = 1,184,792.79/1,229.72
  6. Step 6: Final answer
    x = 963.47

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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.