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Finding the Fourth Proportional to 994.58, 1,492.04 and 409.89

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Solution

The fourth proportional to 994.58, 1,492.04 and 409.89 is: 614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.58 : 1,492.04 = 409.89 : x
  2. Step 2: Convert to fraction form
    994.58/1,492.04 = 409.89/x
  3. Step 3: Cross multiply
    994.58x = 1,492.04 × 409.89
  4. Step 4: Simplify right side
    994.58x = 611,570.23
  5. Step 5: Solve for x
    x = 611,570.23/994.58
  6. Step 6: Final answer
    x = 614.91

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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.