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Finding the Fourth Proportional to 761.34, 1,050.67 and 429.82

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Solution

The fourth proportional to 761.34, 1,050.67 and 429.82 is: 593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.34 : 1,050.67 = 429.82 : x
  2. Step 2: Convert to fraction form
    761.34/1,050.67 = 429.82/x
  3. Step 3: Cross multiply
    761.34x = 1,050.67 × 429.82
  4. Step 4: Simplify right side
    761.34x = 451,600.83
  5. Step 5: Solve for x
    x = 451,600.83/761.34
  6. Step 6: Final answer
    x = 593.17

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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.