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Finding the Fourth Proportional to 673.17, 927.83 and 513.60

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Solution

The fourth proportional to 673.17, 927.83 and 513.60 is: 707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.17 : 927.83 = 513.60 : x
  2. Step 2: Convert to fraction form
    673.17/927.83 = 513.60/x
  3. Step 3: Cross multiply
    673.17x = 927.83 × 513.60
  4. Step 4: Simplify right side
    673.17x = 476,534.77
  5. Step 5: Solve for x
    x = 476,534.77/673.17
  6. Step 6: Final answer
    x = 707.90

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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.