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Finding the Fourth Proportional to 1,059.28, 1,461.79 and 593.53

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Solution

The fourth proportional to 1,059.28, 1,461.79 and 593.53 is: 819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.28 : 1,461.79 = 593.53 : x
  2. Step 2: Convert to fraction form
    1,059.28/1,461.79 = 593.53/x
  3. Step 3: Cross multiply
    1,059.28x = 1,461.79 × 593.53
  4. Step 4: Simplify right side
    1,059.28x = 867,616.22
  5. Step 5: Solve for x
    x = 867,616.22/1,059.28
  6. Step 6: Final answer
    x = 819.06

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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.