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Finding the Fourth Proportional to 762.39, 1,052.15 and 430.83

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Solution

The fourth proportional to 762.39, 1,052.15 and 430.83 is: 594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.39 : 1,052.15 = 430.83 : x
  2. Step 2: Convert to fraction form
    762.39/1,052.15 = 430.83/x
  3. Step 3: Cross multiply
    762.39x = 1,052.15 × 430.83
  4. Step 4: Simplify right side
    762.39x = 453,295.63
  5. Step 5: Solve for x
    x = 453,295.63/762.39
  6. Step 6: Final answer
    x = 594.57

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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.