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Finding the Fourth Proportional to 889.60, 1,334.34 and 564.25

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Solution

The fourth proportional to 889.60, 1,334.34 and 564.25 is: 846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.60 : 1,334.34 = 564.25 : x
  2. Step 2: Convert to fraction form
    889.60/1,334.34 = 564.25/x
  3. Step 3: Cross multiply
    889.60x = 1,334.34 × 564.25
  4. Step 4: Simplify right side
    889.60x = 752,901.35
  5. Step 5: Solve for x
    x = 752,901.35/889.60
  6. Step 6: Final answer
    x = 846.34

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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.