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Finding the Fourth Proportional to 1,262.25, 1,894.19 and 492.75

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Solution

The fourth proportional to 1,262.25, 1,894.19 and 492.75 is: 739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.25 : 1,894.19 = 492.75 : x
  2. Step 2: Convert to fraction form
    1,262.25/1,894.19 = 492.75/x
  3. Step 3: Cross multiply
    1,262.25x = 1,894.19 × 492.75
  4. Step 4: Simplify right side
    1,262.25x = 933,359.66
  5. Step 5: Solve for x
    x = 933,359.66/1,262.25
  6. Step 6: Final answer
    x = 739.44

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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.