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Finding the Fourth Proportional to 742.95, 1,114.44 and 280.77

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Solution

The fourth proportional to 742.95, 1,114.44 and 280.77 is: 421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.95 : 1,114.44 = 280.77 : x
  2. Step 2: Convert to fraction form
    742.95/1,114.44 = 280.77/x
  3. Step 3: Cross multiply
    742.95x = 1,114.44 × 280.77
  4. Step 4: Simplify right side
    742.95x = 312,901.32
  5. Step 5: Solve for x
    x = 312,901.32/742.95
  6. Step 6: Final answer
    x = 421.16

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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.