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Finding the Fourth Proportional to 850.18, 1,175.08 and 784.56

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Solution

The fourth proportional to 850.18, 1,175.08 and 784.56 is: 1,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.18 : 1,175.08 = 784.56 : x
  2. Step 2: Convert to fraction form
    850.18/1,175.08 = 784.56/x
  3. Step 3: Cross multiply
    850.18x = 1,175.08 × 784.56
  4. Step 4: Simplify right side
    850.18x = 921,920.76
  5. Step 5: Solve for x
    x = 921,920.76/850.18
  6. Step 6: Final answer
    x = 1,084.38

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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.