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Finding the Fourth Proportional to 1,062.44, 1,466.27 and 596.69

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Solution

The fourth proportional to 1,062.44, 1,466.27 and 596.69 is: 823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.44 : 1,466.27 = 596.69 : x
  2. Step 2: Convert to fraction form
    1,062.44/1,466.27 = 596.69/x
  3. Step 3: Cross multiply
    1,062.44x = 1,466.27 × 596.69
  4. Step 4: Simplify right side
    1,062.44x = 874,908.65
  5. Step 5: Solve for x
    x = 874,908.65/1,062.44
  6. Step 6: Final answer
    x = 823.49

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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.