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Finding the Fourth Proportional to 779.72, 1,076.03 and 430.41

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Solution

The fourth proportional to 779.72, 1,076.03 and 430.41 is: 593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.72 : 1,076.03 = 430.41 : x
  2. Step 2: Convert to fraction form
    779.72/1,076.03 = 430.41/x
  3. Step 3: Cross multiply
    779.72x = 1,076.03 × 430.41
  4. Step 4: Simplify right side
    779.72x = 463,131.92
  5. Step 5: Solve for x
    x = 463,131.92/779.72
  6. Step 6: Final answer
    x = 593.98

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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.