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Finding the Fourth Proportional to 894.33, 1,341.36 and 461.25

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Solution

The fourth proportional to 894.33, 1,341.36 and 461.25 is: 691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.33 : 1,341.36 = 461.25 : x
  2. Step 2: Convert to fraction form
    894.33/1,341.36 = 461.25/x
  3. Step 3: Cross multiply
    894.33x = 1,341.36 × 461.25
  4. Step 4: Simplify right side
    894.33x = 618,702.30
  5. Step 5: Solve for x
    x = 618,702.30/894.33
  6. Step 6: Final answer
    x = 691.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.