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Finding the Fourth Proportional to 914.63, 1,261.74 and 599.75

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Solution

The fourth proportional to 914.63, 1,261.74 and 599.75 is: 827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.63 : 1,261.74 = 599.75 : x
  2. Step 2: Convert to fraction form
    914.63/1,261.74 = 599.75/x
  3. Step 3: Cross multiply
    914.63x = 1,261.74 × 599.75
  4. Step 4: Simplify right side
    914.63x = 756,728.57
  5. Step 5: Solve for x
    x = 756,728.57/914.63
  6. Step 6: Final answer
    x = 827.36

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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.