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Finding the Fourth Proportional to 742.07, 1,023.93 and 410.51

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Solution

The fourth proportional to 742.07, 1,023.93 and 410.51 is: 566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.07 : 1,023.93 = 410.51 : x
  2. Step 2: Convert to fraction form
    742.07/1,023.93 = 410.51/x
  3. Step 3: Cross multiply
    742.07x = 1,023.93 × 410.51
  4. Step 4: Simplify right side
    742.07x = 420,328.38
  5. Step 5: Solve for x
    x = 420,328.38/742.07
  6. Step 6: Final answer
    x = 566.43

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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.