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Finding the Fourth Proportional to 873.96, 1,205.43 and 593.70

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Solution

The fourth proportional to 873.96, 1,205.43 and 593.70 is: 818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.96 : 1,205.43 = 593.70 : x
  2. Step 2: Convert to fraction form
    873.96/1,205.43 = 593.70/x
  3. Step 3: Cross multiply
    873.96x = 1,205.43 × 593.70
  4. Step 4: Simplify right side
    873.96x = 715,660.82
  5. Step 5: Solve for x
    x = 715,660.82/873.96
  6. Step 6: Final answer
    x = 818.88

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