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Finding the Fourth Proportional to 1,114.44, 1,671.66 and 464.46

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Solution

The fourth proportional to 1,114.44, 1,671.66 and 464.46 is: 696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.44 : 1,671.66 = 464.46 : x
  2. Step 2: Convert to fraction form
    1,114.44/1,671.66 = 464.46/x
  3. Step 3: Cross multiply
    1,114.44x = 1,671.66 × 464.46
  4. Step 4: Simplify right side
    1,114.44x = 776,419.20
  5. Step 5: Solve for x
    x = 776,419.20/1,114.44
  6. Step 6: Final answer
    x = 696.69

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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.