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Finding the Fourth Proportional to 838.51, 1,157.25 and 506.95

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Solution

The fourth proportional to 838.51, 1,157.25 and 506.95 is: 699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.51 : 1,157.25 = 506.95 : x
  2. Step 2: Convert to fraction form
    838.51/1,157.25 = 506.95/x
  3. Step 3: Cross multiply
    838.51x = 1,157.25 × 506.95
  4. Step 4: Simplify right side
    838.51x = 586,667.89
  5. Step 5: Solve for x
    x = 586,667.89/838.51
  6. Step 6: Final answer
    x = 699.66

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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.