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Finding the Fourth Proportional to 1,003.17, 1,390.71 and 950.48

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Solution

The fourth proportional to 1,003.17, 1,390.71 and 950.48 is: 1,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.17 : 1,390.71 = 950.48 : x
  2. Step 2: Convert to fraction form
    1,003.17/1,390.71 = 950.48/x
  3. Step 3: Cross multiply
    1,003.17x = 1,390.71 × 950.48
  4. Step 4: Simplify right side
    1,003.17x = 1,321,835.09
  5. Step 5: Solve for x
    x = 1,321,835.09/1,003.17
  6. Step 6: Final answer
    x = 1,317.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.