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Finding the Fourth Proportional to 960.36, 1,436.90 and 570.56

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Solution

The fourth proportional to 960.36, 1,436.90 and 570.56 is: 853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.36 : 1,436.90 = 570.56 : x
  2. Step 2: Convert to fraction form
    960.36/1,436.90 = 570.56/x
  3. Step 3: Cross multiply
    960.36x = 1,436.90 × 570.56
  4. Step 4: Simplify right side
    960.36x = 819,837.66
  5. Step 5: Solve for x
    x = 819,837.66/960.36
  6. Step 6: Final answer
    x = 853.68

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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.