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Finding the Fourth Proportional to 709.26, 1,064.93 and 434.54

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Solution

The fourth proportional to 709.26, 1,064.93 and 434.54 is: 652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.26 : 1,064.93 = 434.54 : x
  2. Step 2: Convert to fraction form
    709.26/1,064.93 = 434.54/x
  3. Step 3: Cross multiply
    709.26x = 1,064.93 × 434.54
  4. Step 4: Simplify right side
    709.26x = 462,747.18
  5. Step 5: Solve for x
    x = 462,747.18/709.26
  6. Step 6: Final answer
    x = 652.44

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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.