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Finding the Fourth Proportional to 1,012.84, 1,397.88 and 950.31

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Solution

The fourth proportional to 1,012.84, 1,397.88 and 950.31 is: 1,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.84 : 1,397.88 = 950.31 : x
  2. Step 2: Convert to fraction form
    1,012.84/1,397.88 = 950.31/x
  3. Step 3: Cross multiply
    1,012.84x = 1,397.88 × 950.31
  4. Step 4: Simplify right side
    1,012.84x = 1,328,419.34
  5. Step 5: Solve for x
    x = 1,328,419.34/1,012.84
  6. Step 6: Final answer
    x = 1,311.58

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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.