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Finding the Fourth Proportional to 729.50, 1,094.94 and 456.14

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Solution

The fourth proportional to 729.50, 1,094.94 and 456.14 is: 684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.50 : 1,094.94 = 456.14 : x
  2. Step 2: Convert to fraction form
    729.50/1,094.94 = 456.14/x
  3. Step 3: Cross multiply
    729.50x = 1,094.94 × 456.14
  4. Step 4: Simplify right side
    729.50x = 499,445.93
  5. Step 5: Solve for x
    x = 499,445.93/729.50
  6. Step 6: Final answer
    x = 684.64

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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.