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Finding the Fourth Proportional to 1,060.57, 1,463.87 and 594.97

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Solution

The fourth proportional to 1,060.57, 1,463.87 and 594.97 is: 821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.57 : 1,463.87 = 594.97 : x
  2. Step 2: Convert to fraction form
    1,060.57/1,463.87 = 594.97/x
  3. Step 3: Cross multiply
    1,060.57x = 1,463.87 × 594.97
  4. Step 4: Simplify right side
    1,060.57x = 870,955.76
  5. Step 5: Solve for x
    x = 870,955.76/1,060.57
  6. Step 6: Final answer
    x = 821.21

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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.