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Finding the Fourth Proportional to 730.18, 1,095.76 and 345.46

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Solution

The fourth proportional to 730.18, 1,095.76 and 345.46 is: 518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.18 : 1,095.76 = 345.46 : x
  2. Step 2: Convert to fraction form
    730.18/1,095.76 = 345.46/x
  3. Step 3: Cross multiply
    730.18x = 1,095.76 × 345.46
  4. Step 4: Simplify right side
    730.18x = 378,541.25
  5. Step 5: Solve for x
    x = 378,541.25/730.18
  6. Step 6: Final answer
    x = 518.42

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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.