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Finding the Fourth Proportional to 889.50, 1,227.24 and 558.24

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Solution

The fourth proportional to 889.50, 1,227.24 and 558.24 is: 770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.50 : 1,227.24 = 558.24 : x
  2. Step 2: Convert to fraction form
    889.50/1,227.24 = 558.24/x
  3. Step 3: Cross multiply
    889.50x = 1,227.24 × 558.24
  4. Step 4: Simplify right side
    889.50x = 685,094.46
  5. Step 5: Solve for x
    x = 685,094.46/889.50
  6. Step 6: Final answer
    x = 770.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.