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Finding the Fourth Proportional to 1,015.56, 1,523.34 and 784.79

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Solution

The fourth proportional to 1,015.56, 1,523.34 and 784.79 is: 1,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.56 : 1,523.34 = 784.79 : x
  2. Step 2: Convert to fraction form
    1,015.56/1,523.34 = 784.79/x
  3. Step 3: Cross multiply
    1,015.56x = 1,523.34 × 784.79
  4. Step 4: Simplify right side
    1,015.56x = 1,195,502.00
  5. Step 5: Solve for x
    x = 1,195,502.00/1,015.56
  6. Step 6: Final answer
    x = 1,177.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.