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Finding the Fourth Proportional to 1,335.64, 1,843 and 811.58

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Solution

The fourth proportional to 1,335.64, 1,843 and 811.58 is: 1,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.64 : 1,843 = 811.58 : x
  2. Step 2: Convert to fraction form
    1,335.64/1,843 = 811.58/x
  3. Step 3: Cross multiply
    1,335.64x = 1,843 × 811.58
  4. Step 4: Simplify right side
    1,335.64x = 1,495,741.94
  5. Step 5: Solve for x
    x = 1,495,741.94/1,335.64
  6. Step 6: Final answer
    x = 1,119.87

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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.