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Finding the Fourth Proportional to 836.50, 1,254.75 and 228.50

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Solution

The fourth proportional to 836.50, 1,254.75 and 228.50 is: 342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.50 : 1,254.75 = 228.50 : x
  2. Step 2: Convert to fraction form
    836.50/1,254.75 = 228.50/x
  3. Step 3: Cross multiply
    836.50x = 1,254.75 × 228.50
  4. Step 4: Simplify right side
    836.50x = 286,710.38
  5. Step 5: Solve for x
    x = 286,710.38/836.50
  6. Step 6: Final answer
    x = 342.75

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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.