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Finding the Fourth Proportional to 741.90, 1,023.81 and 410.33

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Solution

The fourth proportional to 741.90, 1,023.81 and 410.33 is: 566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.90 : 1,023.81 = 410.33 : x
  2. Step 2: Convert to fraction form
    741.90/1,023.81 = 410.33/x
  3. Step 3: Cross multiply
    741.90x = 1,023.81 × 410.33
  4. Step 4: Simplify right side
    741.90x = 420,094.84
  5. Step 5: Solve for x
    x = 420,094.84/741.90
  6. Step 6: Final answer
    x = 566.24

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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.