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Finding the Fourth Proportional to 1,321.84, 1,824.17 and 762.49

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Solution

The fourth proportional to 1,321.84, 1,824.17 and 762.49 is: 1,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.84 : 1,824.17 = 762.49 : x
  2. Step 2: Convert to fraction form
    1,321.84/1,824.17 = 762.49/x
  3. Step 3: Cross multiply
    1,321.84x = 1,824.17 × 762.49
  4. Step 4: Simplify right side
    1,321.84x = 1,390,909.01
  5. Step 5: Solve for x
    x = 1,390,909.01/1,321.84
  6. Step 6: Final answer
    x = 1,052.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.