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Finding the Fourth Proportional to 742.14, 1,023.96 and 556.24

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Solution

The fourth proportional to 742.14, 1,023.96 and 556.24 is: 767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.14 : 1,023.96 = 556.24 : x
  2. Step 2: Convert to fraction form
    742.14/1,023.96 = 556.24/x
  3. Step 3: Cross multiply
    742.14x = 1,023.96 × 556.24
  4. Step 4: Simplify right side
    742.14x = 569,567.51
  5. Step 5: Solve for x
    x = 569,567.51/742.14
  6. Step 6: Final answer
    x = 767.47

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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.