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Finding the Fourth Proportional to 896.64, 1,237.52 and 547.52

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Solution

The fourth proportional to 896.64, 1,237.52 and 547.52 is: 755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.64 : 1,237.52 = 547.52 : x
  2. Step 2: Convert to fraction form
    896.64/1,237.52 = 547.52/x
  3. Step 3: Cross multiply
    896.64x = 1,237.52 × 547.52
  4. Step 4: Simplify right side
    896.64x = 677,566.95
  5. Step 5: Solve for x
    x = 677,566.95/896.64
  6. Step 6: Final answer
    x = 755.67

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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.