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Finding the Fourth Proportional to 713.84, 1,069.95 and 280.64

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Solution

The fourth proportional to 713.84, 1,069.95 and 280.64 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.84 : 1,069.95 = 280.64 : x
  2. Step 2: Convert to fraction form
    713.84/1,069.95 = 280.64/x
  3. Step 3: Cross multiply
    713.84x = 1,069.95 × 280.64
  4. Step 4: Simplify right side
    713.84x = 300,270.77
  5. Step 5: Solve for x
    x = 300,270.77/713.84
  6. Step 6: Final answer
    x = 420.64

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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.