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Finding the Fourth Proportional to 1,632.83, 2,448.63 and 522.14

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Solution

The fourth proportional to 1,632.83, 2,448.63 and 522.14 is: 783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.83 : 2,448.63 = 522.14 : x
  2. Step 2: Convert to fraction form
    1,632.83/2,448.63 = 522.14/x
  3. Step 3: Cross multiply
    1,632.83x = 2,448.63 × 522.14
  4. Step 4: Simplify right side
    1,632.83x = 1,278,527.67
  5. Step 5: Solve for x
    x = 1,278,527.67/1,632.83
  6. Step 6: Final answer
    x = 783.01

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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.