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Finding the Fourth Proportional to 708.35, 1,063.94 and 434.97

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Solution

The fourth proportional to 708.35, 1,063.94 and 434.97 is: 653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.35 : 1,063.94 = 434.97 : x
  2. Step 2: Convert to fraction form
    708.35/1,063.94 = 434.97/x
  3. Step 3: Cross multiply
    708.35x = 1,063.94 × 434.97
  4. Step 4: Simplify right side
    708.35x = 462,779.81
  5. Step 5: Solve for x
    x = 462,779.81/708.35
  6. Step 6: Final answer
    x = 653.33

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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.