Home / 733.03-1,097.20-407.59

Finding the Fourth Proportional to 733.03, 1,097.20 and 407.59

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Solution

The fourth proportional to 733.03, 1,097.20 and 407.59 is: 610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.03 : 1,097.20 = 407.59 : x
  2. Step 2: Convert to fraction form
    733.03/1,097.20 = 407.59/x
  3. Step 3: Cross multiply
    733.03x = 1,097.20 × 407.59
  4. Step 4: Simplify right side
    733.03x = 447,207.75
  5. Step 5: Solve for x
    x = 447,207.75/733.03
  6. Step 6: Final answer
    x = 610.08

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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.