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Finding the Fourth Proportional to 873.64, 1,205.94 and 579.52

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Solution

The fourth proportional to 873.64, 1,205.94 and 579.52 is: 799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.64 : 1,205.94 = 579.52 : x
  2. Step 2: Convert to fraction form
    873.64/1,205.94 = 579.52/x
  3. Step 3: Cross multiply
    873.64x = 1,205.94 × 579.52
  4. Step 4: Simplify right side
    873.64x = 698,866.35
  5. Step 5: Solve for x
    x = 698,866.35/873.64
  6. Step 6: Final answer
    x = 799.95

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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.