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Finding the Fourth Proportional to 730.68, 1,095.67 and 340.59

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Solution

The fourth proportional to 730.68, 1,095.67 and 340.59 is: 510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.68 : 1,095.67 = 340.59 : x
  2. Step 2: Convert to fraction form
    730.68/1,095.67 = 340.59/x
  3. Step 3: Cross multiply
    730.68x = 1,095.67 × 340.59
  4. Step 4: Simplify right side
    730.68x = 373,172.54
  5. Step 5: Solve for x
    x = 373,172.54/730.68
  6. Step 6: Final answer
    x = 510.72

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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.