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Finding the Fourth Proportional to 997.16, 1,492.94 and 509.16

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Solution

The fourth proportional to 997.16, 1,492.94 and 509.16 is: 762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.16 : 1,492.94 = 509.16 : x
  2. Step 2: Convert to fraction form
    997.16/1,492.94 = 509.16/x
  3. Step 3: Cross multiply
    997.16x = 1,492.94 × 509.16
  4. Step 4: Simplify right side
    997.16x = 760,145.33
  5. Step 5: Solve for x
    x = 760,145.33/997.16
  6. Step 6: Final answer
    x = 762.31

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Why These Related Problems?

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