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Finding the Fourth Proportional to 918.24, 1,375.68 and 533.76

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Solution

The fourth proportional to 918.24, 1,375.68 and 533.76 is: 799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.24 : 1,375.68 = 533.76 : x
  2. Step 2: Convert to fraction form
    918.24/1,375.68 = 533.76/x
  3. Step 3: Cross multiply
    918.24x = 1,375.68 × 533.76
  4. Step 4: Simplify right side
    918.24x = 734,282.96
  5. Step 5: Solve for x
    x = 734,282.96/918.24
  6. Step 6: Final answer
    x = 799.66

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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.