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Finding the Fourth Proportional to 1,071.42, 1,606.32 and 638.88

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Solution

The fourth proportional to 1,071.42, 1,606.32 and 638.88 is: 957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.42 : 1,606.32 = 638.88 : x
  2. Step 2: Convert to fraction form
    1,071.42/1,606.32 = 638.88/x
  3. Step 3: Cross multiply
    1,071.42x = 1,606.32 × 638.88
  4. Step 4: Simplify right side
    1,071.42x = 1,026,245.72
  5. Step 5: Solve for x
    x = 1,026,245.72/1,071.42
  6. Step 6: Final answer
    x = 957.84

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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.