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Finding the Fourth Proportional to 821.09, 1,133.06 and 448.07

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Solution

The fourth proportional to 821.09, 1,133.06 and 448.07 is: 618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.09 : 1,133.06 = 448.07 : x
  2. Step 2: Convert to fraction form
    821.09/1,133.06 = 448.07/x
  3. Step 3: Cross multiply
    821.09x = 1,133.06 × 448.07
  4. Step 4: Simplify right side
    821.09x = 507,690.19
  5. Step 5: Solve for x
    x = 507,690.19/821.09
  6. Step 6: Final answer
    x = 618.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.