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Finding the Fourth Proportional to 741.42, 1,022.27 and 492.34

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Solution

The fourth proportional to 741.42, 1,022.27 and 492.34 is: 678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.42 : 1,022.27 = 492.34 : x
  2. Step 2: Convert to fraction form
    741.42/1,022.27 = 492.34/x
  3. Step 3: Cross multiply
    741.42x = 1,022.27 × 492.34
  4. Step 4: Simplify right side
    741.42x = 503,304.41
  5. Step 5: Solve for x
    x = 503,304.41/741.42
  6. Step 6: Final answer
    x = 678.84

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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.