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Finding the Fourth Proportional to 1,003.98, 1,385.64 and 610.93

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Solution

The fourth proportional to 1,003.98, 1,385.64 and 610.93 is: 843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.98 : 1,385.64 = 610.93 : x
  2. Step 2: Convert to fraction form
    1,003.98/1,385.64 = 610.93/x
  3. Step 3: Cross multiply
    1,003.98x = 1,385.64 × 610.93
  4. Step 4: Simplify right side
    1,003.98x = 846,529.05
  5. Step 5: Solve for x
    x = 846,529.05/1,003.98
  6. Step 6: Final answer
    x = 843.17

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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.