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Finding the Fourth Proportional to 803.66, 1,205.46 and 478.31

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Solution

The fourth proportional to 803.66, 1,205.46 and 478.31 is: 717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.66 : 1,205.46 = 478.31 : x
  2. Step 2: Convert to fraction form
    803.66/1,205.46 = 478.31/x
  3. Step 3: Cross multiply
    803.66x = 1,205.46 × 478.31
  4. Step 4: Simplify right side
    803.66x = 576,586.59
  5. Step 5: Solve for x
    x = 576,586.59/803.66
  6. Step 6: Final answer
    x = 717.45

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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.