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Finding the Fourth Proportional to 1,262.12, 1,743.19 and 841.74

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Solution

The fourth proportional to 1,262.12, 1,743.19 and 841.74 is: 1,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.12 : 1,743.19 = 841.74 : x
  2. Step 2: Convert to fraction form
    1,262.12/1,743.19 = 841.74/x
  3. Step 3: Cross multiply
    1,262.12x = 1,743.19 × 841.74
  4. Step 4: Simplify right side
    1,262.12x = 1,467,317.18
  5. Step 5: Solve for x
    x = 1,467,317.18/1,262.12
  6. Step 6: Final answer
    x = 1,162.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.