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Finding the Fourth Proportional to 1,632.47, 2,448.74 and 536.70

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Solution

The fourth proportional to 1,632.47, 2,448.74 and 536.70 is: 805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.47 : 2,448.74 = 536.70 : x
  2. Step 2: Convert to fraction form
    1,632.47/2,448.74 = 536.70/x
  3. Step 3: Cross multiply
    1,632.47x = 2,448.74 × 536.70
  4. Step 4: Simplify right side
    1,632.47x = 1,314,240.10
  5. Step 5: Solve for x
    x = 1,314,240.10/1,632.47
  6. Step 6: Final answer
    x = 805.06

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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.