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Finding the Fourth Proportional to 730.59, 1,095.73 and 340.57

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Solution

The fourth proportional to 730.59, 1,095.73 and 340.57 is: 510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.59 : 1,095.73 = 340.57 : x
  2. Step 2: Convert to fraction form
    730.59/1,095.73 = 340.57/x
  3. Step 3: Cross multiply
    730.59x = 1,095.73 × 340.57
  4. Step 4: Simplify right side
    730.59x = 373,172.77
  5. Step 5: Solve for x
    x = 373,172.77/730.59
  6. Step 6: Final answer
    x = 510.78

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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.