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Finding the Fourth Proportional to 821.50, 1,232.04 and 512.22

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Solution

The fourth proportional to 821.50, 1,232.04 and 512.22 is: 768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.50 : 1,232.04 = 512.22 : x
  2. Step 2: Convert to fraction form
    821.50/1,232.04 = 512.22/x
  3. Step 3: Cross multiply
    821.50x = 1,232.04 × 512.22
  4. Step 4: Simplify right side
    821.50x = 631,075.53
  5. Step 5: Solve for x
    x = 631,075.53/821.50
  6. Step 6: Final answer
    x = 768.20

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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.