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Finding the Fourth Proportional to 776.85, 1,072.80 and 528.99

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Solution

The fourth proportional to 776.85, 1,072.80 and 528.99 is: 730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.85 : 1,072.80 = 528.99 : x
  2. Step 2: Convert to fraction form
    776.85/1,072.80 = 528.99/x
  3. Step 3: Cross multiply
    776.85x = 1,072.80 × 528.99
  4. Step 4: Simplify right side
    776.85x = 567,500.47
  5. Step 5: Solve for x
    x = 567,500.47/776.85
  6. Step 6: Final answer
    x = 730.51

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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.