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Finding the Fourth Proportional to 1,026.69, 1,540.08 and 377.07

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Solution

The fourth proportional to 1,026.69, 1,540.08 and 377.07 is: 565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.69 : 1,540.08 = 377.07 : x
  2. Step 2: Convert to fraction form
    1,026.69/1,540.08 = 377.07/x
  3. Step 3: Cross multiply
    1,026.69x = 1,540.08 × 377.07
  4. Step 4: Simplify right side
    1,026.69x = 580,717.97
  5. Step 5: Solve for x
    x = 580,717.97/1,026.69
  6. Step 6: Final answer
    x = 565.62

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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.