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Finding the Fourth Proportional to 1,026.33, 1,540.41 and 637.08

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Solution

The fourth proportional to 1,026.33, 1,540.41 and 637.08 is: 956.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.33 : 1,540.41 = 637.08 : x
  2. Step 2: Convert to fraction form
    1,026.33/1,540.41 = 637.08/x
  3. Step 3: Cross multiply
    1,026.33x = 1,540.41 × 637.08
  4. Step 4: Simplify right side
    1,026.33x = 981,364.40
  5. Step 5: Solve for x
    x = 981,364.40/1,026.33
  6. Step 6: Final answer
    x = 956.19

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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.