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Finding the Fourth Proportional to 996.04, 1,492.26 and 507.88

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Solution

The fourth proportional to 996.04, 1,492.26 and 507.88 is: 760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.04 : 1,492.26 = 507.88 : x
  2. Step 2: Convert to fraction form
    996.04/1,492.26 = 507.88/x
  3. Step 3: Cross multiply
    996.04x = 1,492.26 × 507.88
  4. Step 4: Simplify right side
    996.04x = 757,889.01
  5. Step 5: Solve for x
    x = 757,889.01/996.04
  6. Step 6: Final answer
    x = 760.90

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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.