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Finding the Fourth Proportional to 1,632.69, 2,447.01 and 591.84

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Solution

The fourth proportional to 1,632.69, 2,447.01 and 591.84 is: 887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.69 : 2,447.01 = 591.84 : x
  2. Step 2: Convert to fraction form
    1,632.69/2,447.01 = 591.84/x
  3. Step 3: Cross multiply
    1,632.69x = 2,447.01 × 591.84
  4. Step 4: Simplify right side
    1,632.69x = 1,448,238.40
  5. Step 5: Solve for x
    x = 1,448,238.40/1,632.69
  6. Step 6: Final answer
    x = 887.03

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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.