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Finding the Fourth Proportional to 708.35, 974.43 and 619.45

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Solution

The fourth proportional to 708.35, 974.43 and 619.45 is: 852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.35 : 974.43 = 619.45 : x
  2. Step 2: Convert to fraction form
    708.35/974.43 = 619.45/x
  3. Step 3: Cross multiply
    708.35x = 974.43 × 619.45
  4. Step 4: Simplify right side
    708.35x = 603,608.23
  5. Step 5: Solve for x
    x = 603,608.23/708.35
  6. Step 6: Final answer
    x = 852.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.