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Finding the Fourth Proportional to 762.68, 1,052.34 and 463.88

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Solution

The fourth proportional to 762.68, 1,052.34 and 463.88 is: 640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.68 : 1,052.34 = 463.88 : x
  2. Step 2: Convert to fraction form
    762.68/1,052.34 = 463.88/x
  3. Step 3: Cross multiply
    762.68x = 1,052.34 × 463.88
  4. Step 4: Simplify right side
    762.68x = 488,159.48
  5. Step 5: Solve for x
    x = 488,159.48/762.68
  6. Step 6: Final answer
    x = 640.06

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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.