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Finding the Fourth Proportional to 779.74, 1,076.02 and 430.43

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Solution

The fourth proportional to 779.74, 1,076.02 and 430.43 is: 593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.74 : 1,076.02 = 430.43 : x
  2. Step 2: Convert to fraction form
    779.74/1,076.02 = 430.43/x
  3. Step 3: Cross multiply
    779.74x = 1,076.02 × 430.43
  4. Step 4: Simplify right side
    779.74x = 463,150.89
  5. Step 5: Solve for x
    x = 463,150.89/779.74
  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.