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Finding the Fourth Proportional to 889.77, 1,334.16 and 427.17

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Solution

The fourth proportional to 889.77, 1,334.16 and 427.17 is: 640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.77 : 1,334.16 = 427.17 : x
  2. Step 2: Convert to fraction form
    889.77/1,334.16 = 427.17/x
  3. Step 3: Cross multiply
    889.77x = 1,334.16 × 427.17
  4. Step 4: Simplify right side
    889.77x = 569,913.13
  5. Step 5: Solve for x
    x = 569,913.13/889.77
  6. Step 6: Final answer
    x = 640.52

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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.