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Finding the Fourth Proportional to 756.87, 1,043.85 and 533.54

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Solution

The fourth proportional to 756.87, 1,043.85 and 533.54 is: 735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.87 : 1,043.85 = 533.54 : x
  2. Step 2: Convert to fraction form
    756.87/1,043.85 = 533.54/x
  3. Step 3: Cross multiply
    756.87x = 1,043.85 × 533.54
  4. Step 4: Simplify right side
    756.87x = 556,935.73
  5. Step 5: Solve for x
    x = 556,935.73/756.87
  6. Step 6: Final answer
    x = 735.84

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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.