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Finding the Fourth Proportional to 678.21, 1,015.80 and 523

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Solution

The fourth proportional to 678.21, 1,015.80 and 523 is: 783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.21 : 1,015.80 = 523 : x
  2. Step 2: Convert to fraction form
    678.21/1,015.80 = 523/x
  3. Step 3: Cross multiply
    678.21x = 1,015.80 × 523
  4. Step 4: Simplify right side
    678.21x = 531,263.40
  5. Step 5: Solve for x
    x = 531,263.40/678.21
  6. Step 6: Final answer
    x = 783.33

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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.