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Finding the Fourth Proportional to 921.50, 1,272.76 and 610.46

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Solution

The fourth proportional to 921.50, 1,272.76 and 610.46 is: 843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.50 : 1,272.76 = 610.46 : x
  2. Step 2: Convert to fraction form
    921.50/1,272.76 = 610.46/x
  3. Step 3: Cross multiply
    921.50x = 1,272.76 × 610.46
  4. Step 4: Simplify right side
    921.50x = 776,969.07
  5. Step 5: Solve for x
    x = 776,969.07/921.50
  6. Step 6: Final answer
    x = 843.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.