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Finding the Fourth Proportional to 693.00, 957.17 and 506.19

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Solution

The fourth proportional to 693.00, 957.17 and 506.19 is: 699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.00 : 957.17 = 506.19 : x
  2. Step 2: Convert to fraction form
    693.00/957.17 = 506.19/x
  3. Step 3: Cross multiply
    693.00x = 957.17 × 506.19
  4. Step 4: Simplify right side
    693.00x = 484,502.57
  5. Step 5: Solve for x
    x = 484,502.57/693.00
  6. Step 6: Final answer
    x = 699.14

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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.