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Finding the Fourth Proportional to 894.61, 1,342.29 and 504.66

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Solution

The fourth proportional to 894.61, 1,342.29 and 504.66 is: 757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.61 : 1,342.29 = 504.66 : x
  2. Step 2: Convert to fraction form
    894.61/1,342.29 = 504.66/x
  3. Step 3: Cross multiply
    894.61x = 1,342.29 × 504.66
  4. Step 4: Simplify right side
    894.61x = 677,407.00
  5. Step 5: Solve for x
    x = 677,407.00/894.61
  6. Step 6: Final answer
    x = 757.21

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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.