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Finding the Fourth Proportional to 780.26, 1,076.74 and 430.94

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Solution

The fourth proportional to 780.26, 1,076.74 and 430.94 is: 594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.26 : 1,076.74 = 430.94 : x
  2. Step 2: Convert to fraction form
    780.26/1,076.74 = 430.94/x
  3. Step 3: Cross multiply
    780.26x = 1,076.74 × 430.94
  4. Step 4: Simplify right side
    780.26x = 464,010.34
  5. Step 5: Solve for x
    x = 464,010.34/780.26
  6. Step 6: Final answer
    x = 594.69

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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.