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Finding the Fourth Proportional to 1,342.74, 1,852.74 and 811.47

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Solution

The fourth proportional to 1,342.74, 1,852.74 and 811.47 is: 1,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.74 : 1,852.74 = 811.47 : x
  2. Step 2: Convert to fraction form
    1,342.74/1,852.74 = 811.47/x
  3. Step 3: Cross multiply
    1,342.74x = 1,852.74 × 811.47
  4. Step 4: Simplify right side
    1,342.74x = 1,503,442.93
  5. Step 5: Solve for x
    x = 1,503,442.93/1,342.74
  6. Step 6: Final answer
    x = 1,119.68

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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.