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Finding the Fourth Proportional to 1,265.31, 1,897.82 and 340.93

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Solution

The fourth proportional to 1,265.31, 1,897.82 and 340.93 is: 511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.31 : 1,897.82 = 340.93 : x
  2. Step 2: Convert to fraction form
    1,265.31/1,897.82 = 340.93/x
  3. Step 3: Cross multiply
    1,265.31x = 1,897.82 × 340.93
  4. Step 4: Simplify right side
    1,265.31x = 647,022.07
  5. Step 5: Solve for x
    x = 647,022.07/1,265.31
  6. Step 6: Final answer
    x = 511.36

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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.