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Finding the Fourth Proportional to 730.90, 1,096.61 and 456.67

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Solution

The fourth proportional to 730.90, 1,096.61 and 456.67 is: 685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.90 : 1,096.61 = 456.67 : x
  2. Step 2: Convert to fraction form
    730.90/1,096.61 = 456.67/x
  3. Step 3: Cross multiply
    730.90x = 1,096.61 × 456.67
  4. Step 4: Simplify right side
    730.90x = 500,783.86
  5. Step 5: Solve for x
    x = 500,783.86/730.90
  6. Step 6: Final answer
    x = 685.16

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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.