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Finding the Fourth Proportional to 1,026.05, 1,538.87 and 295.46

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Solution

The fourth proportional to 1,026.05, 1,538.87 and 295.46 is: 443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.05 : 1,538.87 = 295.46 : x
  2. Step 2: Convert to fraction form
    1,026.05/1,538.87 = 295.46/x
  3. Step 3: Cross multiply
    1,026.05x = 1,538.87 × 295.46
  4. Step 4: Simplify right side
    1,026.05x = 454,665.36
  5. Step 5: Solve for x
    x = 454,665.36/1,026.05
  6. Step 6: Final answer
    x = 443.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.