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Finding the Fourth Proportional to 728.42, 1,093.10 and 420.08

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Solution

The fourth proportional to 728.42, 1,093.10 and 420.08 is: 630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.42 : 1,093.10 = 420.08 : x
  2. Step 2: Convert to fraction form
    728.42/1,093.10 = 420.08/x
  3. Step 3: Cross multiply
    728.42x = 1,093.10 × 420.08
  4. Step 4: Simplify right side
    728.42x = 459,181.88
  5. Step 5: Solve for x
    x = 459,181.88/728.42
  6. Step 6: Final answer
    x = 630.38

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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.