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Finding the Fourth Proportional to 1,262.27, 1,894.77 and 957.47

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Solution

The fourth proportional to 1,262.27, 1,894.77 and 957.47 is: 1,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.27 : 1,894.77 = 957.47 : x
  2. Step 2: Convert to fraction form
    1,262.27/1,894.77 = 957.47/x
  3. Step 3: Cross multiply
    1,262.27x = 1,894.77 × 957.47
  4. Step 4: Simplify right side
    1,262.27x = 1,814,175.96
  5. Step 5: Solve for x
    x = 1,814,175.96/1,262.27
  6. Step 6: Final answer
    x = 1,437.23

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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.