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Finding the Fourth Proportional to 713.76, 1,069.20 and 424.32

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Solution

The fourth proportional to 713.76, 1,069.20 and 424.32 is: 635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.76 : 1,069.20 = 424.32 : x
  2. Step 2: Convert to fraction form
    713.76/1,069.20 = 424.32/x
  3. Step 3: Cross multiply
    713.76x = 1,069.20 × 424.32
  4. Step 4: Simplify right side
    713.76x = 453,682.94
  5. Step 5: Solve for x
    x = 453,682.94/713.76
  6. Step 6: Final answer
    x = 635.62

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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.