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Finding the Fourth Proportional to 1,006.42, 1,389.81 and 951.88

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Solution

The fourth proportional to 1,006.42, 1,389.81 and 951.88 is: 1,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.42 : 1,389.81 = 951.88 : x
  2. Step 2: Convert to fraction form
    1,006.42/1,389.81 = 951.88/x
  3. Step 3: Cross multiply
    1,006.42x = 1,389.81 × 951.88
  4. Step 4: Simplify right side
    1,006.42x = 1,322,932.34
  5. Step 5: Solve for x
    x = 1,322,932.34/1,006.42
  6. Step 6: Final answer
    x = 1,314.49

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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.