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Finding the Fourth Proportional to 1,522.16, 2,283.69 and 644.21

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Solution

The fourth proportional to 1,522.16, 2,283.69 and 644.21 is: 966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.16 : 2,283.69 = 644.21 : x
  2. Step 2: Convert to fraction form
    1,522.16/2,283.69 = 644.21/x
  3. Step 3: Cross multiply
    1,522.16x = 2,283.69 × 644.21
  4. Step 4: Simplify right side
    1,522.16x = 1,471,164.52
  5. Step 5: Solve for x
    x = 1,471,164.52/1,522.16
  6. Step 6: Final answer
    x = 966.50

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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.