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Finding the Fourth Proportional to 708.67, 1,063.00 and 386.08

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Solution

The fourth proportional to 708.67, 1,063.00 and 386.08 is: 579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.67 : 1,063.00 = 386.08 : x
  2. Step 2: Convert to fraction form
    708.67/1,063.00 = 386.08/x
  3. Step 3: Cross multiply
    708.67x = 1,063.00 × 386.08
  4. Step 4: Simplify right side
    708.67x = 410,404.67
  5. Step 5: Solve for x
    x = 410,404.67/708.67
  6. Step 6: Final answer
    x = 579.12

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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.