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Finding the Fourth Proportional to 709.49, 1,064.91 and 436.12

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Solution

The fourth proportional to 709.49, 1,064.91 and 436.12 is: 654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.49 : 1,064.91 = 436.12 : x
  2. Step 2: Convert to fraction form
    709.49/1,064.91 = 436.12/x
  3. Step 3: Cross multiply
    709.49x = 1,064.91 × 436.12
  4. Step 4: Simplify right side
    709.49x = 464,428.55
  5. Step 5: Solve for x
    x = 464,428.55/709.49
  6. Step 6: Final answer
    x = 654.59

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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.