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Finding the Fourth Proportional to 708.59, 1,063.41 and 465.03

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Solution

The fourth proportional to 708.59, 1,063.41 and 465.03 is: 697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.59 : 1,063.41 = 465.03 : x
  2. Step 2: Convert to fraction form
    708.59/1,063.41 = 465.03/x
  3. Step 3: Cross multiply
    708.59x = 1,063.41 × 465.03
  4. Step 4: Simplify right side
    708.59x = 494,515.23
  5. Step 5: Solve for x
    x = 494,515.23/708.59
  6. Step 6: Final answer
    x = 697.89

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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.