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Finding the Fourth Proportional to 1,026.11, 1,537.86 and 557.55

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Solution

The fourth proportional to 1,026.11, 1,537.86 and 557.55 is: 835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.11 : 1,537.86 = 557.55 : x
  2. Step 2: Convert to fraction form
    1,026.11/1,537.86 = 557.55/x
  3. Step 3: Cross multiply
    1,026.11x = 1,537.86 × 557.55
  4. Step 4: Simplify right side
    1,026.11x = 857,434.90
  5. Step 5: Solve for x
    x = 857,434.90/1,026.11
  6. Step 6: Final answer
    x = 835.62

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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.