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Finding the Fourth Proportional to 873.45, 1,205.75 and 593.69

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Solution

The fourth proportional to 873.45, 1,205.75 and 593.69 is: 819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.45 : 1,205.75 = 593.69 : x
  2. Step 2: Convert to fraction form
    873.45/1,205.75 = 593.69/x
  3. Step 3: Cross multiply
    873.45x = 1,205.75 × 593.69
  4. Step 4: Simplify right side
    873.45x = 715,837.17
  5. Step 5: Solve for x
    x = 715,837.17/873.45
  6. Step 6: Final answer
    x = 819.55

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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.