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Finding the Fourth Proportional to 762.34, 1,051.76 and 467.68

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Solution

The fourth proportional to 762.34, 1,051.76 and 467.68 is: 645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.34 : 1,051.76 = 467.68 : x
  2. Step 2: Convert to fraction form
    762.34/1,051.76 = 467.68/x
  3. Step 3: Cross multiply
    762.34x = 1,051.76 × 467.68
  4. Step 4: Simplify right side
    762.34x = 491,887.12
  5. Step 5: Solve for x
    x = 491,887.12/762.34
  6. Step 6: Final answer
    x = 645.23

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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.