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Finding the Fourth Proportional to 729.51, 1,094.61 and 364.20

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Solution

The fourth proportional to 729.51, 1,094.61 and 364.20 is: 546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.51 : 1,094.61 = 364.20 : x
  2. Step 2: Convert to fraction form
    729.51/1,094.61 = 364.20/x
  3. Step 3: Cross multiply
    729.51x = 1,094.61 × 364.20
  4. Step 4: Simplify right side
    729.51x = 398,656.96
  5. Step 5: Solve for x
    x = 398,656.96/729.51
  6. Step 6: Final answer
    x = 546.47

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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.