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Finding the Fourth Proportional to 649.42, 894.37 and 647.40

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Solution

The fourth proportional to 649.42, 894.37 and 647.40 is: 891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.42 : 894.37 = 647.40 : x
  2. Step 2: Convert to fraction form
    649.42/894.37 = 647.40/x
  3. Step 3: Cross multiply
    649.42x = 894.37 × 647.40
  4. Step 4: Simplify right side
    649.42x = 579,015.14
  5. Step 5: Solve for x
    x = 579,015.14/649.42
  6. Step 6: Final answer
    x = 891.59

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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.