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Finding the Fourth Proportional to 803.20, 1,204.80 and 524.80

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Solution

The fourth proportional to 803.20, 1,204.80 and 524.80 is: 787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.20 : 1,204.80 = 524.80 : x
  2. Step 2: Convert to fraction form
    803.20/1,204.80 = 524.80/x
  3. Step 3: Cross multiply
    803.20x = 1,204.80 × 524.80
  4. Step 4: Simplify right side
    803.20x = 632,279.04
  5. Step 5: Solve for x
    x = 632,279.04/803.20
  6. Step 6: Final answer
    x = 787.20

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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.