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Finding the Fourth Proportional to 1,035.29, 1,428.71 and 593.44

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Solution

The fourth proportional to 1,035.29, 1,428.71 and 593.44 is: 818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.29 : 1,428.71 = 593.44 : x
  2. Step 2: Convert to fraction form
    1,035.29/1,428.71 = 593.44/x
  3. Step 3: Cross multiply
    1,035.29x = 1,428.71 × 593.44
  4. Step 4: Simplify right side
    1,035.29x = 847,847.12
  5. Step 5: Solve for x
    x = 847,847.12/1,035.29
  6. Step 6: Final answer
    x = 818.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.