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Finding the Fourth Proportional to 923.25, 1,274.25 and 607.95

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Solution

The fourth proportional to 923.25, 1,274.25 and 607.95 is: 839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.25 : 1,274.25 = 607.95 : x
  2. Step 2: Convert to fraction form
    923.25/1,274.25 = 607.95/x
  3. Step 3: Cross multiply
    923.25x = 1,274.25 × 607.95
  4. Step 4: Simplify right side
    923.25x = 774,680.29
  5. Step 5: Solve for x
    x = 774,680.29/923.25
  6. Step 6: Final answer
    x = 839.08

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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.