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Finding the Fourth Proportional to 1,398.53, 2,098.05 and 461.53

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Solution

The fourth proportional to 1,398.53, 2,098.05 and 461.53 is: 692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.53 : 2,098.05 = 461.53 : x
  2. Step 2: Convert to fraction form
    1,398.53/2,098.05 = 461.53/x
  3. Step 3: Cross multiply
    1,398.53x = 2,098.05 × 461.53
  4. Step 4: Simplify right side
    1,398.53x = 968,300.22
  5. Step 5: Solve for x
    x = 968,300.22/1,398.53
  6. Step 6: Final answer
    x = 692.37

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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.