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Finding the Fourth Proportional to 873.23, 1,205.01 and 577.98

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Solution

The fourth proportional to 873.23, 1,205.01 and 577.98 is: 797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.23 : 1,205.01 = 577.98 : x
  2. Step 2: Convert to fraction form
    873.23/1,205.01 = 577.98/x
  3. Step 3: Cross multiply
    873.23x = 1,205.01 × 577.98
  4. Step 4: Simplify right side
    873.23x = 696,471.68
  5. Step 5: Solve for x
    x = 696,471.68/873.23
  6. Step 6: Final answer
    x = 797.59

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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.