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Finding the Fourth Proportional to 708.84, 1,063.78 and 465.28

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Solution

The fourth proportional to 708.84, 1,063.78 and 465.28 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.84 : 1,063.78 = 465.28 : x
  2. Step 2: Convert to fraction form
    708.84/1,063.78 = 465.28/x
  3. Step 3: Cross multiply
    708.84x = 1,063.78 × 465.28
  4. Step 4: Simplify right side
    708.84x = 494,955.56
  5. Step 5: Solve for x
    x = 494,955.56/708.84
  6. Step 6: Final answer
    x = 698.26

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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.