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Finding the Fourth Proportional to 1,026.29, 1,538.98 and 295.70

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Solution

The fourth proportional to 1,026.29, 1,538.98 and 295.70 is: 443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.29 : 1,538.98 = 295.70 : x
  2. Step 2: Convert to fraction form
    1,026.29/1,538.98 = 295.70/x
  3. Step 3: Cross multiply
    1,026.29x = 1,538.98 × 295.70
  4. Step 4: Simplify right side
    1,026.29x = 455,072.54
  5. Step 5: Solve for x
    x = 455,072.54/1,026.29
  6. Step 6: Final answer
    x = 443.41

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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.