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Finding the Fourth Proportional to 1,036, 1,429.64 and 593.96

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Solution

The fourth proportional to 1,036, 1,429.64 and 593.96 is: 819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036 : 1,429.64 = 593.96 : x
  2. Step 2: Convert to fraction form
    1,036/1,429.64 = 593.96/x
  3. Step 3: Cross multiply
    1,036x = 1,429.64 × 593.96
  4. Step 4: Simplify right side
    1,036x = 849,148.97
  5. Step 5: Solve for x
    x = 849,148.97/1,036
  6. Step 6: Final answer
    x = 819.64

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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.