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Finding the Fourth Proportional to 741.25, 1,023.35 and 566.92

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Solution

The fourth proportional to 741.25, 1,023.35 and 566.92 is: 782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.25 : 1,023.35 = 566.92 : x
  2. Step 2: Convert to fraction form
    741.25/1,023.35 = 566.92/x
  3. Step 3: Cross multiply
    741.25x = 1,023.35 × 566.92
  4. Step 4: Simplify right side
    741.25x = 580,157.58
  5. Step 5: Solve for x
    x = 580,157.58/741.25
  6. Step 6: Final answer
    x = 782.67

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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.