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Finding the Fourth Proportional to 693, 957.16 and 506.18

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Solution

The fourth proportional to 693, 957.16 and 506.18 is: 699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    693 : 957.16 = 506.18 : x
  2. Step 2: Convert to fraction form
    693/957.16 = 506.18/x
  3. Step 3: Cross multiply
    693x = 957.16 × 506.18
  4. Step 4: Simplify right side
    693x = 484,495.25
  5. Step 5: Solve for x
    x = 484,495.25/693
  6. Step 6: Final answer
    x = 699.13

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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.