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Finding the Fourth Proportional to 1,056.34, 1,584.56 and 593.83

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Solution

The fourth proportional to 1,056.34, 1,584.56 and 593.83 is: 890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.34 : 1,584.56 = 593.83 : x
  2. Step 2: Convert to fraction form
    1,056.34/1,584.56 = 593.83/x
  3. Step 3: Cross multiply
    1,056.34x = 1,584.56 × 593.83
  4. Step 4: Simplify right side
    1,056.34x = 940,962.73
  5. Step 5: Solve for x
    x = 940,962.73/1,056.34
  6. Step 6: Final answer
    x = 890.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.