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Finding the Fourth Proportional to 1,060.50, 1,463.22 and 728.82

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Solution

The fourth proportional to 1,060.50, 1,463.22 and 728.82 is: 1,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.50 : 1,463.22 = 728.82 : x
  2. Step 2: Convert to fraction form
    1,060.50/1,463.22 = 728.82/x
  3. Step 3: Cross multiply
    1,060.50x = 1,463.22 × 728.82
  4. Step 4: Simplify right side
    1,060.50x = 1,066,424.00
  5. Step 5: Solve for x
    x = 1,066,424.00/1,060.50
  6. Step 6: Final answer
    x = 1,005.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.