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Finding the Fourth Proportional to 732.09, 1,096.25 and 407.01

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Solution

The fourth proportional to 732.09, 1,096.25 and 407.01 is: 609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.09 : 1,096.25 = 407.01 : x
  2. Step 2: Convert to fraction form
    732.09/1,096.25 = 407.01/x
  3. Step 3: Cross multiply
    732.09x = 1,096.25 × 407.01
  4. Step 4: Simplify right side
    732.09x = 446,182.68
  5. Step 5: Solve for x
    x = 446,182.68/732.09
  6. Step 6: Final answer
    x = 609.46

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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.