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Finding the Fourth Proportional to 673.77, 928.44 and 649.47

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Solution

The fourth proportional to 673.77, 928.44 and 649.47 is: 894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.77 : 928.44 = 649.47 : x
  2. Step 2: Convert to fraction form
    673.77/928.44 = 649.47/x
  3. Step 3: Cross multiply
    673.77x = 928.44 × 649.47
  4. Step 4: Simplify right side
    673.77x = 602,993.93
  5. Step 5: Solve for x
    x = 602,993.93/673.77
  6. Step 6: Final answer
    x = 894.96

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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.