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Finding the Fourth Proportional to 1,523.06, 2,282.74 and 645.22

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Solution

The fourth proportional to 1,523.06, 2,282.74 and 645.22 is: 967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.06 : 2,282.74 = 645.22 : x
  2. Step 2: Convert to fraction form
    1,523.06/2,282.74 = 645.22/x
  3. Step 3: Cross multiply
    1,523.06x = 2,282.74 × 645.22
  4. Step 4: Simplify right side
    1,523.06x = 1,472,862.18
  5. Step 5: Solve for x
    x = 1,472,862.18/1,523.06
  6. Step 6: Final answer
    x = 967.04

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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.