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Finding the Fourth Proportional to 762.56, 1,052.62 and 468.23

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Solution

The fourth proportional to 762.56, 1,052.62 and 468.23 is: 646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.56 : 1,052.62 = 468.23 : x
  2. Step 2: Convert to fraction form
    762.56/1,052.62 = 468.23/x
  3. Step 3: Cross multiply
    762.56x = 1,052.62 × 468.23
  4. Step 4: Simplify right side
    762.56x = 492,863.00
  5. Step 5: Solve for x
    x = 492,863.00/762.56
  6. Step 6: Final answer
    x = 646.33

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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.