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Finding the Fourth Proportional to 1,064.81, 1,469.27 and 598.97

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Solution

The fourth proportional to 1,064.81, 1,469.27 and 598.97 is: 826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.81 : 1,469.27 = 598.97 : x
  2. Step 2: Convert to fraction form
    1,064.81/1,469.27 = 598.97/x
  3. Step 3: Cross multiply
    1,064.81x = 1,469.27 × 598.97
  4. Step 4: Simplify right side
    1,064.81x = 880,048.65
  5. Step 5: Solve for x
    x = 880,048.65/1,064.81
  6. Step 6: Final answer
    x = 826.48

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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.