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Finding the Fourth Proportional to 1,060.38, 1,463.32 and 594.63

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Solution

The fourth proportional to 1,060.38, 1,463.32 and 594.63 is: 820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.38 : 1,463.32 = 594.63 : x
  2. Step 2: Convert to fraction form
    1,060.38/1,463.32 = 594.63/x
  3. Step 3: Cross multiply
    1,060.38x = 1,463.32 × 594.63
  4. Step 4: Simplify right side
    1,060.38x = 870,133.97
  5. Step 5: Solve for x
    x = 870,133.97/1,060.38
  6. Step 6: Final answer
    x = 820.59

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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.