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Finding the Fourth Proportional to 673.84, 1,010.64 and 289.12

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Solution

The fourth proportional to 673.84, 1,010.64 and 289.12 is: 433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.84 : 1,010.64 = 289.12 : x
  2. Step 2: Convert to fraction form
    673.84/1,010.64 = 289.12/x
  3. Step 3: Cross multiply
    673.84x = 1,010.64 × 289.12
  4. Step 4: Simplify right side
    673.84x = 292,196.24
  5. Step 5: Solve for x
    x = 292,196.24/673.84
  6. Step 6: Final answer
    x = 433.63

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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.