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Finding the Fourth Proportional to 673.78, 1,009.86 and 365.44

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Solution

The fourth proportional to 673.78, 1,009.86 and 365.44 is: 547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.78 : 1,009.86 = 365.44 : x
  2. Step 2: Convert to fraction form
    673.78/1,009.86 = 365.44/x
  3. Step 3: Cross multiply
    673.78x = 1,009.86 × 365.44
  4. Step 4: Simplify right side
    673.78x = 369,043.24
  5. Step 5: Solve for x
    x = 369,043.24/673.78
  6. Step 6: Final answer
    x = 547.72

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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.