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Finding the Fourth Proportional to 1,647.24, 2,470.88 and 536.88

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Solution

The fourth proportional to 1,647.24, 2,470.88 and 536.88 is: 805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.24 : 2,470.88 = 536.88 : x
  2. Step 2: Convert to fraction form
    1,647.24/2,470.88 = 536.88/x
  3. Step 3: Cross multiply
    1,647.24x = 2,470.88 × 536.88
  4. Step 4: Simplify right side
    1,647.24x = 1,326,566.05
  5. Step 5: Solve for x
    x = 1,326,566.05/1,647.24
  6. Step 6: Final answer
    x = 805.33

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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.