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Finding the Fourth Proportional to 813.01, 1,220.04 and 448.06

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Solution

The fourth proportional to 813.01, 1,220.04 and 448.06 is: 672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.01 : 1,220.04 = 448.06 : x
  2. Step 2: Convert to fraction form
    813.01/1,220.04 = 448.06/x
  3. Step 3: Cross multiply
    813.01x = 1,220.04 × 448.06
  4. Step 4: Simplify right side
    813.01x = 546,651.12
  5. Step 5: Solve for x
    x = 546,651.12/813.01
  6. Step 6: Final answer
    x = 672.38

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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.