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Finding the Fourth Proportional to 1,114.80, 1,671.60 and 464.80

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Solution

The fourth proportional to 1,114.80, 1,671.60 and 464.80 is: 696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.80 : 1,671.60 = 464.80 : x
  2. Step 2: Convert to fraction form
    1,114.80/1,671.60 = 464.80/x
  3. Step 3: Cross multiply
    1,114.80x = 1,671.60 × 464.80
  4. Step 4: Simplify right side
    1,114.80x = 776,959.68
  5. Step 5: Solve for x
    x = 776,959.68/1,114.80
  6. Step 6: Final answer
    x = 696.95

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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.