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Finding the Fourth Proportional to 889.59, 1,334.65 and 523.60

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Solution

The fourth proportional to 889.59, 1,334.65 and 523.60 is: 785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.59 : 1,334.65 = 523.60 : x
  2. Step 2: Convert to fraction form
    889.59/1,334.65 = 523.60/x
  3. Step 3: Cross multiply
    889.59x = 1,334.65 × 523.60
  4. Step 4: Simplify right side
    889.59x = 698,822.74
  5. Step 5: Solve for x
    x = 698,822.74/889.59
  6. Step 6: Final answer
    x = 785.56

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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.