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Finding the Fourth Proportional to 923.56, 1,379.51 and 777.76

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Solution

The fourth proportional to 923.56, 1,379.51 and 777.76 is: 1,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.56 : 1,379.51 = 777.76 : x
  2. Step 2: Convert to fraction form
    923.56/1,379.51 = 777.76/x
  3. Step 3: Cross multiply
    923.56x = 1,379.51 × 777.76
  4. Step 4: Simplify right side
    923.56x = 1,072,927.70
  5. Step 5: Solve for x
    x = 1,072,927.70/923.56
  6. Step 6: Final answer
    x = 1,161.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.