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Finding the Fourth Proportional to 762.28, 1,051.50 and 447.47

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Solution

The fourth proportional to 762.28, 1,051.50 and 447.47 is: 617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.28 : 1,051.50 = 447.47 : x
  2. Step 2: Convert to fraction form
    762.28/1,051.50 = 447.47/x
  3. Step 3: Cross multiply
    762.28x = 1,051.50 × 447.47
  4. Step 4: Simplify right side
    762.28x = 470,514.71
  5. Step 5: Solve for x
    x = 470,514.71/762.28
  6. Step 6: Final answer
    x = 617.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.