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Finding the Fourth Proportional to 1,151.30, 1,590.41 and 1,026.92

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Solution

The fourth proportional to 1,151.30, 1,590.41 and 1,026.92 is: 1,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.30 : 1,590.41 = 1,026.92 : x
  2. Step 2: Convert to fraction form
    1,151.30/1,590.41 = 1,026.92/x
  3. Step 3: Cross multiply
    1,151.30x = 1,590.41 × 1,026.92
  4. Step 4: Simplify right side
    1,151.30x = 1,633,230.38
  5. Step 5: Solve for x
    x = 1,633,230.38/1,151.30
  6. Step 6: Final answer
    x = 1,418.59

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Why These Related Problems?

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