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Finding the Fourth Proportional to 783.14, 1,078.89 and 649.54

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Solution

The fourth proportional to 783.14, 1,078.89 and 649.54 is: 894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.14 : 1,078.89 = 649.54 : x
  2. Step 2: Convert to fraction form
    783.14/1,078.89 = 649.54/x
  3. Step 3: Cross multiply
    783.14x = 1,078.89 × 649.54
  4. Step 4: Simplify right side
    783.14x = 700,782.21
  5. Step 5: Solve for x
    x = 700,782.21/783.14
  6. Step 6: Final answer
    x = 894.84

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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.