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Finding the Fourth Proportional to 780.45, 1,161.84 and 776.37

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Solution

The fourth proportional to 780.45, 1,161.84 and 776.37 is: 1,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.45 : 1,161.84 = 776.37 : x
  2. Step 2: Convert to fraction form
    780.45/1,161.84 = 776.37/x
  3. Step 3: Cross multiply
    780.45x = 1,161.84 × 776.37
  4. Step 4: Simplify right side
    780.45x = 902,017.72
  5. Step 5: Solve for x
    x = 902,017.72/780.45
  6. Step 6: Final answer
    x = 1,155.77

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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.