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Finding the Fourth Proportional to 867.56, 1,294.10 and 784.52

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Solution

The fourth proportional to 867.56, 1,294.10 and 784.52 is: 1,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.56 : 1,294.10 = 784.52 : x
  2. Step 2: Convert to fraction form
    867.56/1,294.10 = 784.52/x
  3. Step 3: Cross multiply
    867.56x = 1,294.10 × 784.52
  4. Step 4: Simplify right side
    867.56x = 1,015,247.33
  5. Step 5: Solve for x
    x = 1,015,247.33/867.56
  6. Step 6: Final answer
    x = 1,170.23

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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.