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Finding the Fourth Proportional to 1,147.94, 1,713.58 and 1,009.56

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Solution

The fourth proportional to 1,147.94, 1,713.58 and 1,009.56 is: 1,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.94 : 1,713.58 = 1,009.56 : x
  2. Step 2: Convert to fraction form
    1,147.94/1,713.58 = 1,009.56/x
  3. Step 3: Cross multiply
    1,147.94x = 1,713.58 × 1,009.56
  4. Step 4: Simplify right side
    1,147.94x = 1,729,961.82
  5. Step 5: Solve for x
    x = 1,729,961.82/1,147.94
  6. Step 6: Final answer
    x = 1,507.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.