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Finding the Fourth Proportional to 906.46, 1,360.26 and 473.92

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Solution

The fourth proportional to 906.46, 1,360.26 and 473.92 is: 711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.46 : 1,360.26 = 473.92 : x
  2. Step 2: Convert to fraction form
    906.46/1,360.26 = 473.92/x
  3. Step 3: Cross multiply
    906.46x = 1,360.26 × 473.92
  4. Step 4: Simplify right side
    906.46x = 644,654.42
  5. Step 5: Solve for x
    x = 644,654.42/906.46
  6. Step 6: Final answer
    x = 711.18

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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.