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Finding the Fourth Proportional to 845.80, 1,267.54 and 407.22

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Solution

The fourth proportional to 845.80, 1,267.54 and 407.22 is: 610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.80 : 1,267.54 = 407.22 : x
  2. Step 2: Convert to fraction form
    845.80/1,267.54 = 407.22/x
  3. Step 3: Cross multiply
    845.80x = 1,267.54 × 407.22
  4. Step 4: Simplify right side
    845.80x = 516,167.64
  5. Step 5: Solve for x
    x = 516,167.64/845.80
  6. Step 6: Final answer
    x = 610.27

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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.