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Finding the Fourth Proportional to 756.47, 1,043.61 and 490.84

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Solution

The fourth proportional to 756.47, 1,043.61 and 490.84 is: 677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.47 : 1,043.61 = 490.84 : x
  2. Step 2: Convert to fraction form
    756.47/1,043.61 = 490.84/x
  3. Step 3: Cross multiply
    756.47x = 1,043.61 × 490.84
  4. Step 4: Simplify right side
    756.47x = 512,240.31
  5. Step 5: Solve for x
    x = 512,240.31/756.47
  6. Step 6: Final answer
    x = 677.15

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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.