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Finding the Fourth Proportional to 1,431.96, 2,148.72 and 566.88

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Solution

The fourth proportional to 1,431.96, 2,148.72 and 566.88 is: 850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.96 : 2,148.72 = 566.88 : x
  2. Step 2: Convert to fraction form
    1,431.96/2,148.72 = 566.88/x
  3. Step 3: Cross multiply
    1,431.96x = 2,148.72 × 566.88
  4. Step 4: Simplify right side
    1,431.96x = 1,218,066.39
  5. Step 5: Solve for x
    x = 1,218,066.39/1,431.96
  6. Step 6: Final answer
    x = 850.63

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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.