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Finding the Fourth Proportional to 906.47, 1,359.70 and 444.63

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Solution

The fourth proportional to 906.47, 1,359.70 and 444.63 is: 666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.47 : 1,359.70 = 444.63 : x
  2. Step 2: Convert to fraction form
    906.47/1,359.70 = 444.63/x
  3. Step 3: Cross multiply
    906.47x = 1,359.70 × 444.63
  4. Step 4: Simplify right side
    906.47x = 604,562.30
  5. Step 5: Solve for x
    x = 604,562.30/906.47
  6. Step 6: Final answer
    x = 666.95

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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.