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Finding the Fourth Proportional to 1,035.28, 1,428.72 and 593.14

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Solution

The fourth proportional to 1,035.28, 1,428.72 and 593.14 is: 818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.28 : 1,428.72 = 593.14 : x
  2. Step 2: Convert to fraction form
    1,035.28/1,428.72 = 593.14/x
  3. Step 3: Cross multiply
    1,035.28x = 1,428.72 × 593.14
  4. Step 4: Simplify right side
    1,035.28x = 847,430.98
  5. Step 5: Solve for x
    x = 847,430.98/1,035.28
  6. Step 6: Final answer
    x = 818.55

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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.