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Finding the Fourth Proportional to 709.24, 1,063.60 and 434.50

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Solution

The fourth proportional to 709.24, 1,063.60 and 434.50 is: 651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.24 : 1,063.60 = 434.50 : x
  2. Step 2: Convert to fraction form
    709.24/1,063.60 = 434.50/x
  3. Step 3: Cross multiply
    709.24x = 1,063.60 × 434.50
  4. Step 4: Simplify right side
    709.24x = 462,129.13
  5. Step 5: Solve for x
    x = 462,129.13/709.24
  6. Step 6: Final answer
    x = 651.59

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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.