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Finding the Fourth Proportional to 1,583.44, 2,375.16 and 898

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Solution

The fourth proportional to 1,583.44, 2,375.16 and 898 is: 1,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.44 : 2,375.16 = 898 : x
  2. Step 2: Convert to fraction form
    1,583.44/2,375.16 = 898/x
  3. Step 3: Cross multiply
    1,583.44x = 2,375.16 × 898
  4. Step 4: Simplify right side
    1,583.44x = 2,132,893.68
  5. Step 5: Solve for x
    x = 2,132,893.68/1,583.44
  6. Step 6: Final answer
    x = 1,347.00

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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.