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Finding the Fourth Proportional to 730.85, 1,095.05 and 514.04

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Solution

The fourth proportional to 730.85, 1,095.05 and 514.04 is: 770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.85 : 1,095.05 = 514.04 : x
  2. Step 2: Convert to fraction form
    730.85/1,095.05 = 514.04/x
  3. Step 3: Cross multiply
    730.85x = 1,095.05 × 514.04
  4. Step 4: Simplify right side
    730.85x = 562,891.46
  5. Step 5: Solve for x
    x = 562,891.46/730.85
  6. Step 6: Final answer
    x = 770.19

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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.