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Finding the Fourth Proportional to 1,230.10, 1,840.35 and 798.10

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Solution

The fourth proportional to 1,230.10, 1,840.35 and 798.10 is: 1,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.10 : 1,840.35 = 798.10 : x
  2. Step 2: Convert to fraction form
    1,230.10/1,840.35 = 798.10/x
  3. Step 3: Cross multiply
    1,230.10x = 1,840.35 × 798.10
  4. Step 4: Simplify right side
    1,230.10x = 1,468,783.34
  5. Step 5: Solve for x
    x = 1,468,783.34/1,230.10
  6. Step 6: Final answer
    x = 1,194.04

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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.