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Finding the Fourth Proportional to 762.43, 1,052.14 and 430.90

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Solution

The fourth proportional to 762.43, 1,052.14 and 430.90 is: 594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.43 : 1,052.14 = 430.90 : x
  2. Step 2: Convert to fraction form
    762.43/1,052.14 = 430.90/x
  3. Step 3: Cross multiply
    762.43x = 1,052.14 × 430.90
  4. Step 4: Simplify right side
    762.43x = 453,367.13
  5. Step 5: Solve for x
    x = 453,367.13/762.43
  6. Step 6: Final answer
    x = 594.63

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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.