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Finding the Fourth Proportional to 730.45, 1,095.59 and 210.50

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Solution

The fourth proportional to 730.45, 1,095.59 and 210.50 is: 315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.45 : 1,095.59 = 210.50 : x
  2. Step 2: Convert to fraction form
    730.45/1,095.59 = 210.50/x
  3. Step 3: Cross multiply
    730.45x = 1,095.59 × 210.50
  4. Step 4: Simplify right side
    730.45x = 230,620.85
  5. Step 5: Solve for x
    x = 230,620.85/730.45
  6. Step 6: Final answer
    x = 315.72

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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.