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Finding the Fourth Proportional to 996.62, 1,492.29 and 929.99

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Solution

The fourth proportional to 996.62, 1,492.29 and 929.99 is: 1,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.62 : 1,492.29 = 929.99 : x
  2. Step 2: Convert to fraction form
    996.62/1,492.29 = 929.99/x
  3. Step 3: Cross multiply
    996.62x = 1,492.29 × 929.99
  4. Step 4: Simplify right side
    996.62x = 1,387,807.24
  5. Step 5: Solve for x
    x = 1,387,807.24/996.62
  6. Step 6: Final answer
    x = 1,392.51

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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.