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Finding the Fourth Proportional to 1,280.16, 1,917.83 and 730.67

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Solution

The fourth proportional to 1,280.16, 1,917.83 and 730.67 is: 1,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.16 : 1,917.83 = 730.67 : x
  2. Step 2: Convert to fraction form
    1,280.16/1,917.83 = 730.67/x
  3. Step 3: Cross multiply
    1,280.16x = 1,917.83 × 730.67
  4. Step 4: Simplify right side
    1,280.16x = 1,401,287.60
  5. Step 5: Solve for x
    x = 1,401,287.60/1,280.16
  6. Step 6: Final answer
    x = 1,094.62

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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.