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Finding the Fourth Proportional to 906.32, 1,357.86 and 467.04

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Solution

The fourth proportional to 906.32, 1,357.86 and 467.04 is: 699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.32 : 1,357.86 = 467.04 : x
  2. Step 2: Convert to fraction form
    906.32/1,357.86 = 467.04/x
  3. Step 3: Cross multiply
    906.32x = 1,357.86 × 467.04
  4. Step 4: Simplify right side
    906.32x = 634,174.93
  5. Step 5: Solve for x
    x = 634,174.93/906.32
  6. Step 6: Final answer
    x = 699.73

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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.