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Finding the Fourth Proportional to 1,293.05, 1,782.87 and 1,056.13

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Solution

The fourth proportional to 1,293.05, 1,782.87 and 1,056.13 is: 1,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.05 : 1,782.87 = 1,056.13 : x
  2. Step 2: Convert to fraction form
    1,293.05/1,782.87 = 1,056.13/x
  3. Step 3: Cross multiply
    1,293.05x = 1,782.87 × 1,056.13
  4. Step 4: Simplify right side
    1,293.05x = 1,882,942.49
  5. Step 5: Solve for x
    x = 1,882,942.49/1,293.05
  6. Step 6: Final answer
    x = 1,456.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.