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Finding the Fourth Proportional to 891, 1,333.14 and 617.62

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Solution

The fourth proportional to 891, 1,333.14 and 617.62 is: 924.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    891 : 1,333.14 = 617.62 : x
  2. Step 2: Convert to fraction form
    891/1,333.14 = 617.62/x
  3. Step 3: Cross multiply
    891x = 1,333.14 × 617.62
  4. Step 4: Simplify right side
    891x = 823,373.93
  5. Step 5: Solve for x
    x = 823,373.93/891
  6. Step 6: Final answer
    x = 924.10

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Why These Related Problems?

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