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Finding the Fourth Proportional to 953.25, 1,315.35 and 674.34

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Solution

The fourth proportional to 953.25, 1,315.35 and 674.34 is: 930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.25 : 1,315.35 = 674.34 : x
  2. Step 2: Convert to fraction form
    953.25/1,315.35 = 674.34/x
  3. Step 3: Cross multiply
    953.25x = 1,315.35 × 674.34
  4. Step 4: Simplify right side
    953.25x = 886,993.12
  5. Step 5: Solve for x
    x = 886,993.12/953.25
  6. Step 6: Final answer
    x = 930.49

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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.