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Finding the Fourth Proportional to 993.84, 1,492.04 and 629.36

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Solution

The fourth proportional to 993.84, 1,492.04 and 629.36 is: 944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.84 : 1,492.04 = 629.36 : x
  2. Step 2: Convert to fraction form
    993.84/1,492.04 = 629.36/x
  3. Step 3: Cross multiply
    993.84x = 1,492.04 × 629.36
  4. Step 4: Simplify right side
    993.84x = 939,030.29
  5. Step 5: Solve for x
    x = 939,030.29/993.84
  6. Step 6: Final answer
    x = 944.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.