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Finding the Fourth Proportional to 850.86, 1,275.21 and 588.77

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Solution

The fourth proportional to 850.86, 1,275.21 and 588.77 is: 882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.86 : 1,275.21 = 588.77 : x
  2. Step 2: Convert to fraction form
    850.86/1,275.21 = 588.77/x
  3. Step 3: Cross multiply
    850.86x = 1,275.21 × 588.77
  4. Step 4: Simplify right side
    850.86x = 750,805.39
  5. Step 5: Solve for x
    x = 750,805.39/850.86
  6. Step 6: Final answer
    x = 882.41

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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.