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Finding the Fourth Proportional to 891.15, 1,334.77 and 647.13

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Solution

The fourth proportional to 891.15, 1,334.77 and 647.13 is: 969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.15 : 1,334.77 = 647.13 : x
  2. Step 2: Convert to fraction form
    891.15/1,334.77 = 647.13/x
  3. Step 3: Cross multiply
    891.15x = 1,334.77 × 647.13
  4. Step 4: Simplify right side
    891.15x = 863,769.71
  5. Step 5: Solve for x
    x = 863,769.71/891.15
  6. Step 6: Final answer
    x = 969.28

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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.