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Finding the Fourth Proportional to 743.49, 1,114.53 and 280.95

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Solution

The fourth proportional to 743.49, 1,114.53 and 280.95 is: 421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.49 : 1,114.53 = 280.95 : x
  2. Step 2: Convert to fraction form
    743.49/1,114.53 = 280.95/x
  3. Step 3: Cross multiply
    743.49x = 1,114.53 × 280.95
  4. Step 4: Simplify right side
    743.49x = 313,127.20
  5. Step 5: Solve for x
    x = 313,127.20/743.49
  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.