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Finding the Fourth Proportional to 1,315.76, 1,972.64 and 622.04

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Solution

The fourth proportional to 1,315.76, 1,972.64 and 622.04 is: 932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.76 : 1,972.64 = 622.04 : x
  2. Step 2: Convert to fraction form
    1,315.76/1,972.64 = 622.04/x
  3. Step 3: Cross multiply
    1,315.76x = 1,972.64 × 622.04
  4. Step 4: Simplify right side
    1,315.76x = 1,227,052.68
  5. Step 5: Solve for x
    x = 1,227,052.68/1,315.76
  6. Step 6: Final answer
    x = 932.58

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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.