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Finding the Fourth Proportional to 889.06, 1,332.23 and 523.45

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Solution

The fourth proportional to 889.06, 1,332.23 and 523.45 is: 784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.06 : 1,332.23 = 523.45 : x
  2. Step 2: Convert to fraction form
    889.06/1,332.23 = 523.45/x
  3. Step 3: Cross multiply
    889.06x = 1,332.23 × 523.45
  4. Step 4: Simplify right side
    889.06x = 697,355.79
  5. Step 5: Solve for x
    x = 697,355.79/889.06
  6. Step 6: Final answer
    x = 784.37

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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.