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Finding the Fourth Proportional to 713.49, 1,070.34 and 302.63

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Solution

The fourth proportional to 713.49, 1,070.34 and 302.63 is: 453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.49 : 1,070.34 = 302.63 : x
  2. Step 2: Convert to fraction form
    713.49/1,070.34 = 302.63/x
  3. Step 3: Cross multiply
    713.49x = 1,070.34 × 302.63
  4. Step 4: Simplify right side
    713.49x = 323,912.21
  5. Step 5: Solve for x
    x = 323,912.21/713.49
  6. Step 6: Final answer
    x = 453.99

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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.