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Finding the Fourth Proportional to 1,141.03, 1,572.96 and 767.86

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Solution

The fourth proportional to 1,141.03, 1,572.96 and 767.86 is: 1,058.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.03 : 1,572.96 = 767.86 : x
  2. Step 2: Convert to fraction form
    1,141.03/1,572.96 = 767.86/x
  3. Step 3: Cross multiply
    1,141.03x = 1,572.96 × 767.86
  4. Step 4: Simplify right side
    1,141.03x = 1,207,813.07
  5. Step 5: Solve for x
    x = 1,207,813.07/1,141.03
  6. Step 6: Final answer
    x = 1,058.53

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