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Finding the Fourth Proportional to 761.90, 1,051.34 and 430.34

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Solution

The fourth proportional to 761.90, 1,051.34 and 430.34 is: 593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.90 : 1,051.34 = 430.34 : x
  2. Step 2: Convert to fraction form
    761.90/1,051.34 = 430.34/x
  3. Step 3: Cross multiply
    761.90x = 1,051.34 × 430.34
  4. Step 4: Simplify right side
    761.90x = 452,433.66
  5. Step 5: Solve for x
    x = 452,433.66/761.90
  6. Step 6: Final answer
    x = 593.82

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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.