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Finding the Fourth Proportional to 850, 1,275.36 and 459.54

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Solution

The fourth proportional to 850, 1,275.36 and 459.54 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    850 : 1,275.36 = 459.54 : x
  2. Step 2: Convert to fraction form
    850/1,275.36 = 459.54/x
  3. Step 3: Cross multiply
    850x = 1,275.36 × 459.54
  4. Step 4: Simplify right side
    850x = 586,078.93
  5. Step 5: Solve for x
    x = 586,078.93/850
  6. Step 6: Final answer
    x = 689.50

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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.