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Finding the Fourth Proportional to 1,272.67, 1,907.91 and 492.23

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Solution

The fourth proportional to 1,272.67, 1,907.91 and 492.23 is: 737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.67 : 1,907.91 = 492.23 : x
  2. Step 2: Convert to fraction form
    1,272.67/1,907.91 = 492.23/x
  3. Step 3: Cross multiply
    1,272.67x = 1,907.91 × 492.23
  4. Step 4: Simplify right side
    1,272.67x = 939,130.54
  5. Step 5: Solve for x
    x = 939,130.54/1,272.67
  6. Step 6: Final answer
    x = 737.92

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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.