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Finding the Fourth Proportional to 776.51, 1,164.73 and 228.70

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Solution

The fourth proportional to 776.51, 1,164.73 and 228.70 is: 343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.51 : 1,164.73 = 228.70 : x
  2. Step 2: Convert to fraction form
    776.51/1,164.73 = 228.70/x
  3. Step 3: Cross multiply
    776.51x = 1,164.73 × 228.70
  4. Step 4: Simplify right side
    776.51x = 266,373.75
  5. Step 5: Solve for x
    x = 266,373.75/776.51
  6. Step 6: Final answer
    x = 343.04

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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.