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Finding the Fourth Proportional to 780.67, 1,077.28 and 431.29

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Solution

The fourth proportional to 780.67, 1,077.28 and 431.29 is: 595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.67 : 1,077.28 = 431.29 : x
  2. Step 2: Convert to fraction form
    780.67/1,077.28 = 431.29/x
  3. Step 3: Cross multiply
    780.67x = 1,077.28 × 431.29
  4. Step 4: Simplify right side
    780.67x = 464,620.09
  5. Step 5: Solve for x
    x = 464,620.09/780.67
  6. Step 6: Final answer
    x = 595.16

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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.