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Finding the Fourth Proportional to 1,034.44, 1,551.66 and 982.53

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Solution

The fourth proportional to 1,034.44, 1,551.66 and 982.53 is: 1,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.44 : 1,551.66 = 982.53 : x
  2. Step 2: Convert to fraction form
    1,034.44/1,551.66 = 982.53/x
  3. Step 3: Cross multiply
    1,034.44x = 1,551.66 × 982.53
  4. Step 4: Simplify right side
    1,034.44x = 1,524,552.50
  5. Step 5: Solve for x
    x = 1,524,552.50/1,034.44
  6. Step 6: Final answer
    x = 1,473.80

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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.