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Finding the Fourth Proportional to 906.17, 1,351.86 and 881.06

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Solution

The fourth proportional to 906.17, 1,351.86 and 881.06 is: 1,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.17 : 1,351.86 = 881.06 : x
  2. Step 2: Convert to fraction form
    906.17/1,351.86 = 881.06/x
  3. Step 3: Cross multiply
    906.17x = 1,351.86 × 881.06
  4. Step 4: Simplify right side
    906.17x = 1,191,059.71
  5. Step 5: Solve for x
    x = 1,191,059.71/906.17
  6. Step 6: Final answer
    x = 1,314.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.