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Finding the Fourth Proportional to 997.15, 1,494.35 and 509.18

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Solution

The fourth proportional to 997.15, 1,494.35 and 509.18 is: 763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.15 : 1,494.35 = 509.18 : x
  2. Step 2: Convert to fraction form
    997.15/1,494.35 = 509.18/x
  3. Step 3: Cross multiply
    997.15x = 1,494.35 × 509.18
  4. Step 4: Simplify right side
    997.15x = 760,890.63
  5. Step 5: Solve for x
    x = 760,890.63/997.15
  6. Step 6: Final answer
    x = 763.07

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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.