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Finding the Fourth Proportional to 742.90, 1,025.18 and 406.80

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Solution

The fourth proportional to 742.90, 1,025.18 and 406.80 is: 561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.90 : 1,025.18 = 406.80 : x
  2. Step 2: Convert to fraction form
    742.90/1,025.18 = 406.80/x
  3. Step 3: Cross multiply
    742.90x = 1,025.18 × 406.80
  4. Step 4: Simplify right side
    742.90x = 417,043.22
  5. Step 5: Solve for x
    x = 417,043.22/742.90
  6. Step 6: Final answer
    x = 561.37

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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.