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Finding the Fourth Proportional to 994.49, 1,492.42 and 409.53

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Solution

The fourth proportional to 994.49, 1,492.42 and 409.53 is: 614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.49 : 1,492.42 = 409.53 : x
  2. Step 2: Convert to fraction form
    994.49/1,492.42 = 409.53/x
  3. Step 3: Cross multiply
    994.49x = 1,492.42 × 409.53
  4. Step 4: Simplify right side
    994.49x = 611,190.76
  5. Step 5: Solve for x
    x = 611,190.76/994.49
  6. Step 6: Final answer
    x = 614.58

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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.