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Finding the Fourth Proportional to 1,026.95, 1,538.37 and 767.25

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Solution

The fourth proportional to 1,026.95, 1,538.37 and 767.25 is: 1,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.95 : 1,538.37 = 767.25 : x
  2. Step 2: Convert to fraction form
    1,026.95/1,538.37 = 767.25/x
  3. Step 3: Cross multiply
    1,026.95x = 1,538.37 × 767.25
  4. Step 4: Simplify right side
    1,026.95x = 1,180,314.38
  5. Step 5: Solve for x
    x = 1,180,314.38/1,026.95
  6. Step 6: Final answer
    x = 1,149.35

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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.