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Finding the Fourth Proportional to 762.09, 1,051.43 and 467.13

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Solution

The fourth proportional to 762.09, 1,051.43 and 467.13 is: 644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.09 : 1,051.43 = 467.13 : x
  2. Step 2: Convert to fraction form
    762.09/1,051.43 = 467.13/x
  3. Step 3: Cross multiply
    762.09x = 1,051.43 × 467.13
  4. Step 4: Simplify right side
    762.09x = 491,152.16
  5. Step 5: Solve for x
    x = 491,152.16/762.09
  6. Step 6: Final answer
    x = 644.48

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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.