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Finding the Fourth Proportional to 906.96, 1,360.68 and 826.32

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Solution

The fourth proportional to 906.96, 1,360.68 and 826.32 is: 1,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.96 : 1,360.68 = 826.32 : x
  2. Step 2: Convert to fraction form
    906.96/1,360.68 = 826.32/x
  3. Step 3: Cross multiply
    906.96x = 1,360.68 × 826.32
  4. Step 4: Simplify right side
    906.96x = 1,124,357.10
  5. Step 5: Solve for x
    x = 1,124,357.10/906.96
  6. Step 6: Final answer
    x = 1,239.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.