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Finding the Fourth Proportional to 1,489.07, 2,234.06 and 564.91

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Solution

The fourth proportional to 1,489.07, 2,234.06 and 564.91 is: 847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.07 : 2,234.06 = 564.91 : x
  2. Step 2: Convert to fraction form
    1,489.07/2,234.06 = 564.91/x
  3. Step 3: Cross multiply
    1,489.07x = 2,234.06 × 564.91
  4. Step 4: Simplify right side
    1,489.07x = 1,262,040.01
  5. Step 5: Solve for x
    x = 1,262,040.01/1,489.07
  6. Step 6: Final answer
    x = 847.54

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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.