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Finding the Fourth Proportional to 1,335.21, 1,841.72 and 811.55

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Solution

The fourth proportional to 1,335.21, 1,841.72 and 811.55 is: 1,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.21 : 1,841.72 = 811.55 : x
  2. Step 2: Convert to fraction form
    1,335.21/1,841.72 = 811.55/x
  3. Step 3: Cross multiply
    1,335.21x = 1,841.72 × 811.55
  4. Step 4: Simplify right side
    1,335.21x = 1,494,634.60
  5. Step 5: Solve for x
    x = 1,494,634.60/1,335.21
  6. Step 6: Final answer
    x = 1,119.40

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Why These Related Problems?

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