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Finding the Fourth Proportional to 906.46, 1,245.49 and 740.26

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Solution

The fourth proportional to 906.46, 1,245.49 and 740.26 is: 1,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.46 : 1,245.49 = 740.26 : x
  2. Step 2: Convert to fraction form
    906.46/1,245.49 = 740.26/x
  3. Step 3: Cross multiply
    906.46x = 1,245.49 × 740.26
  4. Step 4: Simplify right side
    906.46x = 921,986.43
  5. Step 5: Solve for x
    x = 921,986.43/906.46
  6. Step 6: Final answer
    x = 1,017.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.