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Finding the Fourth Proportional to 1,219.76, 1,829.62 and 307.76

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Solution

The fourth proportional to 1,219.76, 1,829.62 and 307.76 is: 461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.76 : 1,829.62 = 307.76 : x
  2. Step 2: Convert to fraction form
    1,219.76/1,829.62 = 307.76/x
  3. Step 3: Cross multiply
    1,219.76x = 1,829.62 × 307.76
  4. Step 4: Simplify right side
    1,219.76x = 563,083.85
  5. Step 5: Solve for x
    x = 563,083.85/1,219.76
  6. Step 6: Final answer
    x = 461.63

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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.