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Finding the Fourth Proportional to 741.81, 1,023.69 and 410.25

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Solution

The fourth proportional to 741.81, 1,023.69 and 410.25 is: 566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.81 : 1,023.69 = 410.25 : x
  2. Step 2: Convert to fraction form
    741.81/1,023.69 = 410.25/x
  3. Step 3: Cross multiply
    741.81x = 1,023.69 × 410.25
  4. Step 4: Simplify right side
    741.81x = 419,968.82
  5. Step 5: Solve for x
    x = 419,968.82/741.81
  6. Step 6: Final answer
    x = 566.14

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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.