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Finding the Fourth Proportional to 1,629.17, 2,443.50 and 533.51

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Solution

The fourth proportional to 1,629.17, 2,443.50 and 533.51 is: 800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.17 : 2,443.50 = 533.51 : x
  2. Step 2: Convert to fraction form
    1,629.17/2,443.50 = 533.51/x
  3. Step 3: Cross multiply
    1,629.17x = 2,443.50 × 533.51
  4. Step 4: Simplify right side
    1,629.17x = 1,303,619.47
  5. Step 5: Solve for x
    x = 1,303,619.47/1,629.17
  6. Step 6: Final answer
    x = 800.18

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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.