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Finding the Fourth Proportional to 1,295.79, 1,942.29 and 638.10

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Solution

The fourth proportional to 1,295.79, 1,942.29 and 638.10 is: 956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.79 : 1,942.29 = 638.10 : x
  2. Step 2: Convert to fraction form
    1,295.79/1,942.29 = 638.10/x
  3. Step 3: Cross multiply
    1,295.79x = 1,942.29 × 638.10
  4. Step 4: Simplify right side
    1,295.79x = 1,239,375.25
  5. Step 5: Solve for x
    x = 1,239,375.25/1,295.79
  6. Step 6: Final answer
    x = 956.46

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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.