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Finding the Fourth Proportional to 1,015.56, 1,401.75 and 661.47

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Solution

The fourth proportional to 1,015.56, 1,401.75 and 661.47 is: 913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.56 : 1,401.75 = 661.47 : x
  2. Step 2: Convert to fraction form
    1,015.56/1,401.75 = 661.47/x
  3. Step 3: Cross multiply
    1,015.56x = 1,401.75 × 661.47
  4. Step 4: Simplify right side
    1,015.56x = 927,215.57
  5. Step 5: Solve for x
    x = 927,215.57/1,015.56
  6. Step 6: Final answer
    x = 913.01

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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.