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Finding the Fourth Proportional to 762.29, 1,051.96 and 430.73

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Solution

The fourth proportional to 762.29, 1,051.96 and 430.73 is: 594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.29 : 1,051.96 = 430.73 : x
  2. Step 2: Convert to fraction form
    762.29/1,051.96 = 430.73/x
  3. Step 3: Cross multiply
    762.29x = 1,051.96 × 430.73
  4. Step 4: Simplify right side
    762.29x = 453,111.21
  5. Step 5: Solve for x
    x = 453,111.21/762.29
  6. Step 6: Final answer
    x = 594.41

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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.