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Finding the Fourth Proportional to 1,278.45, 1,916.46 and 584.82

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Solution

The fourth proportional to 1,278.45, 1,916.46 and 584.82 is: 876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.45 : 1,916.46 = 584.82 : x
  2. Step 2: Convert to fraction form
    1,278.45/1,916.46 = 584.82/x
  3. Step 3: Cross multiply
    1,278.45x = 1,916.46 × 584.82
  4. Step 4: Simplify right side
    1,278.45x = 1,120,784.14
  5. Step 5: Solve for x
    x = 1,120,784.14/1,278.45
  6. Step 6: Final answer
    x = 876.67

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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.