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Finding the Fourth Proportional to 949.73, 1,423.26 and 486.51

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Solution

The fourth proportional to 949.73, 1,423.26 and 486.51 is: 729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.73 : 1,423.26 = 486.51 : x
  2. Step 2: Convert to fraction form
    949.73/1,423.26 = 486.51/x
  3. Step 3: Cross multiply
    949.73x = 1,423.26 × 486.51
  4. Step 4: Simplify right side
    949.73x = 692,430.22
  5. Step 5: Solve for x
    x = 692,430.22/949.73
  6. Step 6: Final answer
    x = 729.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.