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Finding the Fourth Proportional to 707.11, 974.98 and 490.99

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Solution

The fourth proportional to 707.11, 974.98 and 490.99 is: 676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.11 : 974.98 = 490.99 : x
  2. Step 2: Convert to fraction form
    707.11/974.98 = 490.99/x
  3. Step 3: Cross multiply
    707.11x = 974.98 × 490.99
  4. Step 4: Simplify right side
    707.11x = 478,705.43
  5. Step 5: Solve for x
    x = 478,705.43/707.11
  6. Step 6: Final answer
    x = 676.99

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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.