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Finding the Fourth Proportional to 850.34, 1,275.48 and 459.74

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Solution

The fourth proportional to 850.34, 1,275.48 and 459.74 is: 689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.34 : 1,275.48 = 459.74 : x
  2. Step 2: Convert to fraction form
    850.34/1,275.48 = 459.74/x
  3. Step 3: Cross multiply
    850.34x = 1,275.48 × 459.74
  4. Step 4: Simplify right side
    850.34x = 586,389.18
  5. Step 5: Solve for x
    x = 586,389.18/850.34
  6. Step 6: Final answer
    x = 689.59

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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.