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Finding the Fourth Proportional to 1,035.97, 1,429.76 and 593.94

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Solution

The fourth proportional to 1,035.97, 1,429.76 and 593.94 is: 819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.97 : 1,429.76 = 593.94 : x
  2. Step 2: Convert to fraction form
    1,035.97/1,429.76 = 593.94/x
  3. Step 3: Cross multiply
    1,035.97x = 1,429.76 × 593.94
  4. Step 4: Simplify right side
    1,035.97x = 849,191.65
  5. Step 5: Solve for x
    x = 849,191.65/1,035.97
  6. Step 6: Final answer
    x = 819.71

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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.