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Finding the Fourth Proportional to 956.84, 1,435.25 and 523.76

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Solution

The fourth proportional to 956.84, 1,435.25 and 523.76 is: 785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.84 : 1,435.25 = 523.76 : x
  2. Step 2: Convert to fraction form
    956.84/1,435.25 = 523.76/x
  3. Step 3: Cross multiply
    956.84x = 1,435.25 × 523.76
  4. Step 4: Simplify right side
    956.84x = 751,720.67
  5. Step 5: Solve for x
    x = 751,720.67/956.84
  6. Step 6: Final answer
    x = 785.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.