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Finding the Fourth Proportional to 850.52, 1,276.14 and 465.32

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Solution

The fourth proportional to 850.52, 1,276.14 and 465.32 is: 698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.52 : 1,276.14 = 465.32 : x
  2. Step 2: Convert to fraction form
    850.52/1,276.14 = 465.32/x
  3. Step 3: Cross multiply
    850.52x = 1,276.14 × 465.32
  4. Step 4: Simplify right side
    850.52x = 593,813.46
  5. Step 5: Solve for x
    x = 593,813.46/850.52
  6. Step 6: Final answer
    x = 698.18

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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.