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Finding the Fourth Proportional to 761.44, 1,051.26 and 512.80

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Solution

The fourth proportional to 761.44, 1,051.26 and 512.80 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.44 : 1,051.26 = 512.80 : x
  2. Step 2: Convert to fraction form
    761.44/1,051.26 = 512.80/x
  3. Step 3: Cross multiply
    761.44x = 1,051.26 × 512.80
  4. Step 4: Simplify right side
    761.44x = 539,086.13
  5. Step 5: Solve for x
    x = 539,086.13/761.44
  6. Step 6: Final answer
    x = 707.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.