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Finding the Fourth Proportional to 994.54, 1,492.31 and 409.99

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Solution

The fourth proportional to 994.54, 1,492.31 and 409.99 is: 615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.54 : 1,492.31 = 409.99 : x
  2. Step 2: Convert to fraction form
    994.54/1,492.31 = 409.99/x
  3. Step 3: Cross multiply
    994.54x = 1,492.31 × 409.99
  4. Step 4: Simplify right side
    994.54x = 611,829.47
  5. Step 5: Solve for x
    x = 611,829.47/994.54
  6. Step 6: Final answer
    x = 615.19

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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.