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Finding the Fourth Proportional to 1,282.53, 1,922.24 and 588.23

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Solution

The fourth proportional to 1,282.53, 1,922.24 and 588.23 is: 881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.53 : 1,922.24 = 588.23 : x
  2. Step 2: Convert to fraction form
    1,282.53/1,922.24 = 588.23/x
  3. Step 3: Cross multiply
    1,282.53x = 1,922.24 × 588.23
  4. Step 4: Simplify right side
    1,282.53x = 1,130,706.68
  5. Step 5: Solve for x
    x = 1,130,706.68/1,282.53
  6. Step 6: Final answer
    x = 881.62

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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.