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Finding the Fourth Proportional to 762.48, 1,052.32 and 467.96

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Solution

The fourth proportional to 762.48, 1,052.32 and 467.96 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.48 : 1,052.32 = 467.96 : x
  2. Step 2: Convert to fraction form
    762.48/1,052.32 = 467.96/x
  3. Step 3: Cross multiply
    762.48x = 1,052.32 × 467.96
  4. Step 4: Simplify right side
    762.48x = 492,443.67
  5. Step 5: Solve for x
    x = 492,443.67/762.48
  6. Step 6: Final answer
    x = 645.84

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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.