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Finding the Fourth Proportional to 1,056.20, 1,581.86 and 593.28

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Solution

The fourth proportional to 1,056.20, 1,581.86 and 593.28 is: 888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.20 : 1,581.86 = 593.28 : x
  2. Step 2: Convert to fraction form
    1,056.20/1,581.86 = 593.28/x
  3. Step 3: Cross multiply
    1,056.20x = 1,581.86 × 593.28
  4. Step 4: Simplify right side
    1,056.20x = 938,487.38
  5. Step 5: Solve for x
    x = 938,487.38/1,056.20
  6. Step 6: Final answer
    x = 888.56

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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.