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Finding the Fourth Proportional to 1,146.21, 1,581.77 and 648.85

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Solution

The fourth proportional to 1,146.21, 1,581.77 and 648.85 is: 895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.21 : 1,581.77 = 648.85 : x
  2. Step 2: Convert to fraction form
    1,146.21/1,581.77 = 648.85/x
  3. Step 3: Cross multiply
    1,146.21x = 1,581.77 × 648.85
  4. Step 4: Simplify right side
    1,146.21x = 1,026,331.46
  5. Step 5: Solve for x
    x = 1,026,331.46/1,146.21
  6. Step 6: Final answer
    x = 895.41

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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.