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Finding the Fourth Proportional to 673.86, 1,010.13 and 365.42

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Solution

The fourth proportional to 673.86, 1,010.13 and 365.42 is: 547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.86 : 1,010.13 = 365.42 : x
  2. Step 2: Convert to fraction form
    673.86/1,010.13 = 365.42/x
  3. Step 3: Cross multiply
    673.86x = 1,010.13 × 365.42
  4. Step 4: Simplify right side
    673.86x = 369,121.70
  5. Step 5: Solve for x
    x = 369,121.70/673.86
  6. Step 6: Final answer
    x = 547.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.