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Finding the Fourth Proportional to 845.44, 1,270.40 and 460.96

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Solution

The fourth proportional to 845.44, 1,270.40 and 460.96 is: 692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.44 : 1,270.40 = 460.96 : x
  2. Step 2: Convert to fraction form
    845.44/1,270.40 = 460.96/x
  3. Step 3: Cross multiply
    845.44x = 1,270.40 × 460.96
  4. Step 4: Simplify right side
    845.44x = 585,603.58
  5. Step 5: Solve for x
    x = 585,603.58/845.44
  6. Step 6: Final answer
    x = 692.66

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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.