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Finding the Fourth Proportional to 1,003.45, 1,384.77 and 583.83

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Solution

The fourth proportional to 1,003.45, 1,384.77 and 583.83 is: 805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.45 : 1,384.77 = 583.83 : x
  2. Step 2: Convert to fraction form
    1,003.45/1,384.77 = 583.83/x
  3. Step 3: Cross multiply
    1,003.45x = 1,384.77 × 583.83
  4. Step 4: Simplify right side
    1,003.45x = 808,470.27
  5. Step 5: Solve for x
    x = 808,470.27/1,003.45
  6. Step 6: Final answer
    x = 805.69

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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.