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Finding the Fourth Proportional to 839.74, 1,253.95 and 685.97

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Solution

The fourth proportional to 839.74, 1,253.95 and 685.97 is: 1,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.74 : 1,253.95 = 685.97 : x
  2. Step 2: Convert to fraction form
    839.74/1,253.95 = 685.97/x
  3. Step 3: Cross multiply
    839.74x = 1,253.95 × 685.97
  4. Step 4: Simplify right side
    839.74x = 860,172.94
  5. Step 5: Solve for x
    x = 860,172.94/839.74
  6. Step 6: Final answer
    x = 1,024.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.