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Finding the Fourth Proportional to 732.21, 1,097.70 and 299.07

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Solution

The fourth proportional to 732.21, 1,097.70 and 299.07 is: 448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.21 : 1,097.70 = 299.07 : x
  2. Step 2: Convert to fraction form
    732.21/1,097.70 = 299.07/x
  3. Step 3: Cross multiply
    732.21x = 1,097.70 × 299.07
  4. Step 4: Simplify right side
    732.21x = 328,289.14
  5. Step 5: Solve for x
    x = 328,289.14/732.21
  6. Step 6: Final answer
    x = 448.35

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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.