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Finding the Fourth Proportional to 994.74, 1,492.28 and 378.74

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Solution

The fourth proportional to 994.74, 1,492.28 and 378.74 is: 568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.74 : 1,492.28 = 378.74 : x
  2. Step 2: Convert to fraction form
    994.74/1,492.28 = 378.74/x
  3. Step 3: Cross multiply
    994.74x = 1,492.28 × 378.74
  4. Step 4: Simplify right side
    994.74x = 565,186.13
  5. Step 5: Solve for x
    x = 565,186.13/994.74
  6. Step 6: Final answer
    x = 568.17

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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.