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Finding the Fourth Proportional to 1,060.33, 1,463.24 and 594.58

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Solution

The fourth proportional to 1,060.33, 1,463.24 and 594.58 is: 820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.33 : 1,463.24 = 594.58 : x
  2. Step 2: Convert to fraction form
    1,060.33/1,463.24 = 594.58/x
  3. Step 3: Cross multiply
    1,060.33x = 1,463.24 × 594.58
  4. Step 4: Simplify right side
    1,060.33x = 870,005.92
  5. Step 5: Solve for x
    x = 870,005.92/1,060.33
  6. Step 6: Final answer
    x = 820.51

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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.