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Finding the Fourth Proportional to 762.35, 1,052.01 and 430.79

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Solution

The fourth proportional to 762.35, 1,052.01 and 430.79 is: 594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.35 : 1,052.01 = 430.79 : x
  2. Step 2: Convert to fraction form
    762.35/1,052.01 = 430.79/x
  3. Step 3: Cross multiply
    762.35x = 1,052.01 × 430.79
  4. Step 4: Simplify right side
    762.35x = 453,190.13
  5. Step 5: Solve for x
    x = 453,190.13/762.35
  6. Step 6: Final answer
    x = 594.47

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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.