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Finding the Fourth Proportional to 1,066.00, 1,470.73 and 600.16

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Solution

The fourth proportional to 1,066.00, 1,470.73 and 600.16 is: 828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.00 : 1,470.73 = 600.16 : x
  2. Step 2: Convert to fraction form
    1,066.00/1,470.73 = 600.16/x
  3. Step 3: Cross multiply
    1,066.00x = 1,470.73 × 600.16
  4. Step 4: Simplify right side
    1,066.00x = 882,665.96
  5. Step 5: Solve for x
    x = 882,665.96/1,066.00
  6. Step 6: Final answer
    x = 828.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.