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Finding the Fourth Proportional to 850.24, 1,275.36 and 460.24

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Solution

The fourth proportional to 850.24, 1,275.36 and 460.24 is: 690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.24 : 1,275.36 = 460.24 : x
  2. Step 2: Convert to fraction form
    850.24/1,275.36 = 460.24/x
  3. Step 3: Cross multiply
    850.24x = 1,275.36 × 460.24
  4. Step 4: Simplify right side
    850.24x = 586,971.69
  5. Step 5: Solve for x
    x = 586,971.69/850.24
  6. Step 6: Final answer
    x = 690.36

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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.