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Finding the Fourth Proportional to 713.15, 1,069.87 and 302.29

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Solution

The fourth proportional to 713.15, 1,069.87 and 302.29 is: 453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.15 : 1,069.87 = 302.29 : x
  2. Step 2: Convert to fraction form
    713.15/1,069.87 = 302.29/x
  3. Step 3: Cross multiply
    713.15x = 1,069.87 × 302.29
  4. Step 4: Simplify right side
    713.15x = 323,410.27
  5. Step 5: Solve for x
    x = 323,410.27/713.15
  6. Step 6: Final answer
    x = 453.49

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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.