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Finding the Fourth Proportional to 1,003.77, 1,384.43 and 725.00

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Solution

The fourth proportional to 1,003.77, 1,384.43 and 725.00 is: 999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.77 : 1,384.43 = 725.00 : x
  2. Step 2: Convert to fraction form
    1,003.77/1,384.43 = 725.00/x
  3. Step 3: Cross multiply
    1,003.77x = 1,384.43 × 725.00
  4. Step 4: Simplify right side
    1,003.77x = 1,003,701.20
  5. Step 5: Solve for x
    x = 1,003,701.20/1,003.77
  6. Step 6: Final answer
    x = 999.93

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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.