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Finding the Fourth Proportional to 994.41, 1,492.13 and 409.86

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Solution

The fourth proportional to 994.41, 1,492.13 and 409.86 is: 615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.41 : 1,492.13 = 409.86 : x
  2. Step 2: Convert to fraction form
    994.41/1,492.13 = 409.86/x
  3. Step 3: Cross multiply
    994.41x = 1,492.13 × 409.86
  4. Step 4: Simplify right side
    994.41x = 611,564.40
  5. Step 5: Solve for x
    x = 611,564.40/994.41
  6. Step 6: Final answer
    x = 615.00

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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.