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Finding the Fourth Proportional to 1,619.76, 2,429.76 and 465.50

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Solution

The fourth proportional to 1,619.76, 2,429.76 and 465.50 is: 698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.76 : 2,429.76 = 465.50 : x
  2. Step 2: Convert to fraction form
    1,619.76/2,429.76 = 465.50/x
  3. Step 3: Cross multiply
    1,619.76x = 2,429.76 × 465.50
  4. Step 4: Simplify right side
    1,619.76x = 1,131,053.28
  5. Step 5: Solve for x
    x = 1,131,053.28/1,619.76
  6. Step 6: Final answer
    x = 698.28

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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.