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Finding the Fourth Proportional to 1,364.73, 1,883.36 and 767.30

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Solution

The fourth proportional to 1,364.73, 1,883.36 and 767.30 is: 1,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.73 : 1,883.36 = 767.30 : x
  2. Step 2: Convert to fraction form
    1,364.73/1,883.36 = 767.30/x
  3. Step 3: Cross multiply
    1,364.73x = 1,883.36 × 767.30
  4. Step 4: Simplify right side
    1,364.73x = 1,445,102.13
  5. Step 5: Solve for x
    x = 1,445,102.13/1,364.73
  6. Step 6: Final answer
    x = 1,058.89

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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.