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Finding the Fourth Proportional to 1,066.73, 1,598.70 and 604.72

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Solution

The fourth proportional to 1,066.73, 1,598.70 and 604.72 is: 906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.73 : 1,598.70 = 604.72 : x
  2. Step 2: Convert to fraction form
    1,066.73/1,598.70 = 604.72/x
  3. Step 3: Cross multiply
    1,066.73x = 1,598.70 × 604.72
  4. Step 4: Simplify right side
    1,066.73x = 966,757.87
  5. Step 5: Solve for x
    x = 966,757.87/1,066.73
  6. Step 6: Final answer
    x = 906.28

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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.