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Finding the Fourth Proportional to 1,035.36, 1,428.83 and 593.30

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Solution

The fourth proportional to 1,035.36, 1,428.83 and 593.30 is: 818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.36 : 1,428.83 = 593.30 : x
  2. Step 2: Convert to fraction form
    1,035.36/1,428.83 = 593.30/x
  3. Step 3: Cross multiply
    1,035.36x = 1,428.83 × 593.30
  4. Step 4: Simplify right side
    1,035.36x = 847,714.73
  5. Step 5: Solve for x
    x = 847,714.73/1,035.36
  6. Step 6: Final answer
    x = 818.76

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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.