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Finding the Fourth Proportional to 914.31, 1,261.89 and 521.37

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Solution

The fourth proportional to 914.31, 1,261.89 and 521.37 is: 719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.31 : 1,261.89 = 521.37 : x
  2. Step 2: Convert to fraction form
    914.31/1,261.89 = 521.37/x
  3. Step 3: Cross multiply
    914.31x = 1,261.89 × 521.37
  4. Step 4: Simplify right side
    914.31x = 657,911.59
  5. Step 5: Solve for x
    x = 657,911.59/914.31
  6. Step 6: Final answer
    x = 719.57

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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.