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Finding the Fourth Proportional to 994.71, 1,492.74 and 629.13

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Solution

The fourth proportional to 994.71, 1,492.74 and 629.13 is: 944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.71 : 1,492.74 = 629.13 : x
  2. Step 2: Convert to fraction form
    994.71/1,492.74 = 629.13/x
  3. Step 3: Cross multiply
    994.71x = 1,492.74 × 629.13
  4. Step 4: Simplify right side
    994.71x = 939,127.52
  5. Step 5: Solve for x
    x = 939,127.52/994.71
  6. Step 6: Final answer
    x = 944.12

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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.