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Finding the Fourth Proportional to 741.09, 1,022.35 and 492.11

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Solution

The fourth proportional to 741.09, 1,022.35 and 492.11 is: 678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.09 : 1,022.35 = 492.11 : x
  2. Step 2: Convert to fraction form
    741.09/1,022.35 = 492.11/x
  3. Step 3: Cross multiply
    741.09x = 1,022.35 × 492.11
  4. Step 4: Simplify right side
    741.09x = 503,101.09
  5. Step 5: Solve for x
    x = 503,101.09/741.09
  6. Step 6: Final answer
    x = 678.87

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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.