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Finding the Fourth Proportional to 761.97, 1,051.50 and 430.41

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Solution

The fourth proportional to 761.97, 1,051.50 and 430.41 is: 593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.97 : 1,051.50 = 430.41 : x
  2. Step 2: Convert to fraction form
    761.97/1,051.50 = 430.41/x
  3. Step 3: Cross multiply
    761.97x = 1,051.50 × 430.41
  4. Step 4: Simplify right side
    761.97x = 452,576.12
  5. Step 5: Solve for x
    x = 452,576.12/761.97
  6. Step 6: Final answer
    x = 593.96

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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.