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Finding the Fourth Proportional to 591.94, 883.49 and 513.50

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Solution

The fourth proportional to 591.94, 883.49 and 513.50 is: 766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.94 : 883.49 = 513.50 : x
  2. Step 2: Convert to fraction form
    591.94/883.49 = 513.50/x
  3. Step 3: Cross multiply
    591.94x = 883.49 × 513.50
  4. Step 4: Simplify right side
    591.94x = 453,672.12
  5. Step 5: Solve for x
    x = 453,672.12/591.94
  6. Step 6: Final answer
    x = 766.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.