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Finding the Fourth Proportional to 618.92, 852.65 and 509.03

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Solution

The fourth proportional to 618.92, 852.65 and 509.03 is: 701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.92 : 852.65 = 509.03 : x
  2. Step 2: Convert to fraction form
    618.92/852.65 = 509.03/x
  3. Step 3: Cross multiply
    618.92x = 852.65 × 509.03
  4. Step 4: Simplify right side
    618.92x = 434,024.43
  5. Step 5: Solve for x
    x = 434,024.43/618.92
  6. Step 6: Final answer
    x = 701.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.