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Finding the Fourth Proportional to 729.83, 1,095.06 and 456.14

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Solution

The fourth proportional to 729.83, 1,095.06 and 456.14 is: 684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.83 : 1,095.06 = 456.14 : x
  2. Step 2: Convert to fraction form
    729.83/1,095.06 = 456.14/x
  3. Step 3: Cross multiply
    729.83x = 1,095.06 × 456.14
  4. Step 4: Simplify right side
    729.83x = 499,500.67
  5. Step 5: Solve for x
    x = 499,500.67/729.83
  6. Step 6: Final answer
    x = 684.41

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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.