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Finding the Fourth Proportional to 762.58, 1,052.41 and 467.84

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Solution

The fourth proportional to 762.58, 1,052.41 and 467.84 is: 645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.58 : 1,052.41 = 467.84 : x
  2. Step 2: Convert to fraction form
    762.58/1,052.41 = 467.84/x
  3. Step 3: Cross multiply
    762.58x = 1,052.41 × 467.84
  4. Step 4: Simplify right side
    762.58x = 492,359.49
  5. Step 5: Solve for x
    x = 492,359.49/762.58
  6. Step 6: Final answer
    x = 645.65

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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.