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Finding the Fourth Proportional to 776.53, 1,164.40 and 228.57

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Solution

The fourth proportional to 776.53, 1,164.40 and 228.57 is: 342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.53 : 1,164.40 = 228.57 : x
  2. Step 2: Convert to fraction form
    776.53/1,164.40 = 228.57/x
  3. Step 3: Cross multiply
    776.53x = 1,164.40 × 228.57
  4. Step 4: Simplify right side
    776.53x = 266,146.91
  5. Step 5: Solve for x
    x = 266,146.91/776.53
  6. Step 6: Final answer
    x = 342.74

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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.