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Finding the Fourth Proportional to 785.05, 1,084.19 and 537.01

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Solution

The fourth proportional to 785.05, 1,084.19 and 537.01 is: 741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.05 : 1,084.19 = 537.01 : x
  2. Step 2: Convert to fraction form
    785.05/1,084.19 = 537.01/x
  3. Step 3: Cross multiply
    785.05x = 1,084.19 × 537.01
  4. Step 4: Simplify right side
    785.05x = 582,215.48
  5. Step 5: Solve for x
    x = 582,215.48/785.05
  6. Step 6: Final answer
    x = 741.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.