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Finding the Fourth Proportional to 988.53, 1,482.21 and 403.80

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Solution

The fourth proportional to 988.53, 1,482.21 and 403.80 is: 605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.53 : 1,482.21 = 403.80 : x
  2. Step 2: Convert to fraction form
    988.53/1,482.21 = 403.80/x
  3. Step 3: Cross multiply
    988.53x = 1,482.21 × 403.80
  4. Step 4: Simplify right side
    988.53x = 598,516.40
  5. Step 5: Solve for x
    x = 598,516.40/988.53
  6. Step 6: Final answer
    x = 605.46

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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.