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Finding the Fourth Proportional to 1,066, 1,599.36 and 603.24

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Solution

The fourth proportional to 1,066, 1,599.36 and 603.24 is: 905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066 : 1,599.36 = 603.24 : x
  2. Step 2: Convert to fraction form
    1,066/1,599.36 = 603.24/x
  3. Step 3: Cross multiply
    1,066x = 1,599.36 × 603.24
  4. Step 4: Simplify right side
    1,066x = 964,797.93
  5. Step 5: Solve for x
    x = 964,797.93/1,066
  6. Step 6: Final answer
    x = 905.06

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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.