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Finding the Fourth Proportional to 1,035.28, 1,428.74 and 593.43

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Solution

The fourth proportional to 1,035.28, 1,428.74 and 593.43 is: 818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.28 : 1,428.74 = 593.43 : x
  2. Step 2: Convert to fraction form
    1,035.28/1,428.74 = 593.43/x
  3. Step 3: Cross multiply
    1,035.28x = 1,428.74 × 593.43
  4. Step 4: Simplify right side
    1,035.28x = 847,851.08
  5. Step 5: Solve for x
    x = 847,851.08/1,035.28
  6. Step 6: Final answer
    x = 818.96

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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.