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Finding the Fourth Proportional to 1,077.00, 1,485.89 and 657.20

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Solution

The fourth proportional to 1,077.00, 1,485.89 and 657.20 is: 906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.00 : 1,485.89 = 657.20 : x
  2. Step 2: Convert to fraction form
    1,077.00/1,485.89 = 657.20/x
  3. Step 3: Cross multiply
    1,077.00x = 1,485.89 × 657.20
  4. Step 4: Simplify right side
    1,077.00x = 976,525.14
  5. Step 5: Solve for x
    x = 976,525.14/1,077.00
  6. Step 6: Final answer
    x = 906.71

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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.