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Finding the Fourth Proportional to 731.07, 1,095.71 and 340.97

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Solution

The fourth proportional to 731.07, 1,095.71 and 340.97 is: 511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.07 : 1,095.71 = 340.97 : x
  2. Step 2: Convert to fraction form
    731.07/1,095.71 = 340.97/x
  3. Step 3: Cross multiply
    731.07x = 1,095.71 × 340.97
  4. Step 4: Simplify right side
    731.07x = 373,597.06
  5. Step 5: Solve for x
    x = 373,597.06/731.07
  6. Step 6: Final answer
    x = 511.03

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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.