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Finding the Fourth Proportional to 775.30, 1,164.57 and 653.80

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Solution

The fourth proportional to 775.30, 1,164.57 and 653.80 is: 982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.30 : 1,164.57 = 653.80 : x
  2. Step 2: Convert to fraction form
    775.30/1,164.57 = 653.80/x
  3. Step 3: Cross multiply
    775.30x = 1,164.57 × 653.80
  4. Step 4: Simplify right side
    775.30x = 761,395.87
  5. Step 5: Solve for x
    x = 761,395.87/775.30
  6. Step 6: Final answer
    x = 982.07

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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.