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Finding the Fourth Proportional to 850.23, 1,265.00 and 847.35

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Solution

The fourth proportional to 850.23, 1,265.00 and 847.35 is: 1,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.23 : 1,265.00 = 847.35 : x
  2. Step 2: Convert to fraction form
    850.23/1,265.00 = 847.35/x
  3. Step 3: Cross multiply
    850.23x = 1,265.00 × 847.35
  4. Step 4: Simplify right side
    850.23x = 1,071,893.51
  5. Step 5: Solve for x
    x = 1,071,893.51/850.23
  6. Step 6: Final answer
    x = 1,260.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.