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Finding the Fourth Proportional to 732.48, 1,097.87 and 407.19

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Solution

The fourth proportional to 732.48, 1,097.87 and 407.19 is: 610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.48 : 1,097.87 = 407.19 : x
  2. Step 2: Convert to fraction form
    732.48/1,097.87 = 407.19/x
  3. Step 3: Cross multiply
    732.48x = 1,097.87 × 407.19
  4. Step 4: Simplify right side
    732.48x = 447,039.65
  5. Step 5: Solve for x
    x = 447,039.65/732.48
  6. Step 6: Final answer
    x = 610.31

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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.