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Finding the Fourth Proportional to 1,003.42, 1,384.90 and 583.90

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Solution

The fourth proportional to 1,003.42, 1,384.90 and 583.90 is: 805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.42 : 1,384.90 = 583.90 : x
  2. Step 2: Convert to fraction form
    1,003.42/1,384.90 = 583.90/x
  3. Step 3: Cross multiply
    1,003.42x = 1,384.90 × 583.90
  4. Step 4: Simplify right side
    1,003.42x = 808,633.27
  5. Step 5: Solve for x
    x = 808,633.27/1,003.42
  6. Step 6: Final answer
    x = 805.88

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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.