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Finding the Fourth Proportional to 762.09, 1,141.92 and 397.32

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Solution

The fourth proportional to 762.09, 1,141.92 and 397.32 is: 595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.09 : 1,141.92 = 397.32 : x
  2. Step 2: Convert to fraction form
    762.09/1,141.92 = 397.32/x
  3. Step 3: Cross multiply
    762.09x = 1,141.92 × 397.32
  4. Step 4: Simplify right side
    762.09x = 453,707.65
  5. Step 5: Solve for x
    x = 453,707.65/762.09
  6. Step 6: Final answer
    x = 595.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.