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Finding the Fourth Proportional to 889.25, 1,334.86 and 524.75

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Solution

The fourth proportional to 889.25, 1,334.86 and 524.75 is: 787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.25 : 1,334.86 = 524.75 : x
  2. Step 2: Convert to fraction form
    889.25/1,334.86 = 524.75/x
  3. Step 3: Cross multiply
    889.25x = 1,334.86 × 524.75
  4. Step 4: Simplify right side
    889.25x = 700,459.80
  5. Step 5: Solve for x
    x = 700,459.80/889.25
  6. Step 6: Final answer
    x = 787.70

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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.