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Finding the Fourth Proportional to 1,632.45, 2,448.68 and 536.90

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Solution

The fourth proportional to 1,632.45, 2,448.68 and 536.90 is: 805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.45 : 2,448.68 = 536.90 : x
  2. Step 2: Convert to fraction form
    1,632.45/2,448.68 = 536.90/x
  3. Step 3: Cross multiply
    1,632.45x = 2,448.68 × 536.90
  4. Step 4: Simplify right side
    1,632.45x = 1,314,696.29
  5. Step 5: Solve for x
    x = 1,314,696.29/1,632.45
  6. Step 6: Final answer
    x = 805.35

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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.