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Finding the Fourth Proportional to 1,315.29, 1,972.97 and 622.28

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Solution

The fourth proportional to 1,315.29, 1,972.97 and 622.28 is: 933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.29 : 1,972.97 = 622.28 : x
  2. Step 2: Convert to fraction form
    1,315.29/1,972.97 = 622.28/x
  3. Step 3: Cross multiply
    1,315.29x = 1,972.97 × 622.28
  4. Step 4: Simplify right side
    1,315.29x = 1,227,743.93
  5. Step 5: Solve for x
    x = 1,227,743.93/1,315.29
  6. Step 6: Final answer
    x = 933.44

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1.5x scale

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.