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Finding the Fourth Proportional to 906.66, 1,360.24 and 467.75

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Solution

The fourth proportional to 906.66, 1,360.24 and 467.75 is: 701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.66 : 1,360.24 = 467.75 : x
  2. Step 2: Convert to fraction form
    906.66/1,360.24 = 467.75/x
  3. Step 3: Cross multiply
    906.66x = 1,360.24 × 467.75
  4. Step 4: Simplify right side
    906.66x = 636,254.49
  5. Step 5: Solve for x
    x = 636,254.49/906.66
  6. Step 6: Final answer
    x = 701.76

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