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Finding the Fourth Proportional to 1,035.71, 1,429.41 and 593.65

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Solution

The fourth proportional to 1,035.71, 1,429.41 and 593.65 is: 819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.71 : 1,429.41 = 593.65 : x
  2. Step 2: Convert to fraction form
    1,035.71/1,429.41 = 593.65/x
  3. Step 3: Cross multiply
    1,035.71x = 1,429.41 × 593.65
  4. Step 4: Simplify right side
    1,035.71x = 848,569.25
  5. Step 5: Solve for x
    x = 848,569.25/1,035.71
  6. Step 6: Final answer
    x = 819.31

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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.