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Finding the Fourth Proportional to 775.72, 1,164.27 and 654.07

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Solution

The fourth proportional to 775.72, 1,164.27 and 654.07 is: 981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.72 : 1,164.27 = 654.07 : x
  2. Step 2: Convert to fraction form
    775.72/1,164.27 = 654.07/x
  3. Step 3: Cross multiply
    775.72x = 1,164.27 × 654.07
  4. Step 4: Simplify right side
    775.72x = 761,510.29
  5. Step 5: Solve for x
    x = 761,510.29/775.72
  6. Step 6: Final answer
    x = 981.68

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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.