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Finding the Fourth Proportional to 1,026.39, 1,537.97 and 586.83

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Solution

The fourth proportional to 1,026.39, 1,537.97 and 586.83 is: 879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.39 : 1,537.97 = 586.83 : x
  2. Step 2: Convert to fraction form
    1,026.39/1,537.97 = 586.83/x
  3. Step 3: Cross multiply
    1,026.39x = 1,537.97 × 586.83
  4. Step 4: Simplify right side
    1,026.39x = 902,524.00
  5. Step 5: Solve for x
    x = 902,524.00/1,026.39
  6. Step 6: Final answer
    x = 879.32

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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.