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Finding the Fourth Proportional to 1,633.19, 2,448.65 and 522.24

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Solution

The fourth proportional to 1,633.19, 2,448.65 and 522.24 is: 783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.19 : 2,448.65 = 522.24 : x
  2. Step 2: Convert to fraction form
    1,633.19/2,448.65 = 522.24/x
  3. Step 3: Cross multiply
    1,633.19x = 2,448.65 × 522.24
  4. Step 4: Simplify right side
    1,633.19x = 1,278,782.98
  5. Step 5: Solve for x
    x = 1,278,782.98/1,633.19
  6. Step 6: Final answer
    x = 783.00

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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.