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Finding the Fourth Proportional to 956.97, 1,436.00 and 524.43

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Solution

The fourth proportional to 956.97, 1,436.00 and 524.43 is: 786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.97 : 1,436.00 = 524.43 : x
  2. Step 2: Convert to fraction form
    956.97/1,436.00 = 524.43/x
  3. Step 3: Cross multiply
    956.97x = 1,436.00 × 524.43
  4. Step 4: Simplify right side
    956.97x = 753,078.86
  5. Step 5: Solve for x
    x = 753,078.86/956.97
  6. Step 6: Final answer
    x = 786.94

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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.