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Finding the Fourth Proportional to 733.90, 1,014.24 and 548.01

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Solution

The fourth proportional to 733.90, 1,014.24 and 548.01 is: 757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.90 : 1,014.24 = 548.01 : x
  2. Step 2: Convert to fraction form
    733.90/1,014.24 = 548.01/x
  3. Step 3: Cross multiply
    733.90x = 1,014.24 × 548.01
  4. Step 4: Simplify right side
    733.90x = 555,813.66
  5. Step 5: Solve for x
    x = 555,813.66/733.90
  6. Step 6: Final answer
    x = 757.34

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1.5x scale

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.