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Finding the Fourth Proportional to 1,164.69, 1,747.86 and 462

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Solution

The fourth proportional to 1,164.69, 1,747.86 and 462 is: 693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.69 : 1,747.86 = 462 : x
  2. Step 2: Convert to fraction form
    1,164.69/1,747.86 = 462/x
  3. Step 3: Cross multiply
    1,164.69x = 1,747.86 × 462
  4. Step 4: Simplify right side
    1,164.69x = 807,511.32
  5. Step 5: Solve for x
    x = 807,511.32/1,164.69
  6. Step 6: Final answer
    x = 693.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.