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Finding the Fourth Proportional to 742.51, 1,113.87 and 280.46

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Solution

The fourth proportional to 742.51, 1,113.87 and 280.46 is: 420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.51 : 1,113.87 = 280.46 : x
  2. Step 2: Convert to fraction form
    742.51/1,113.87 = 280.46/x
  3. Step 3: Cross multiply
    742.51x = 1,113.87 × 280.46
  4. Step 4: Simplify right side
    742.51x = 312,389.01
  5. Step 5: Solve for x
    x = 312,389.01/742.51
  6. Step 6: Final answer
    x = 420.72

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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.