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Finding the Fourth Proportional to 694.89, 957.45 and 498.06

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Solution

The fourth proportional to 694.89, 957.45 and 498.06 is: 686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.89 : 957.45 = 498.06 : x
  2. Step 2: Convert to fraction form
    694.89/957.45 = 498.06/x
  3. Step 3: Cross multiply
    694.89x = 957.45 × 498.06
  4. Step 4: Simplify right side
    694.89x = 476,869.41
  5. Step 5: Solve for x
    x = 476,869.41/694.89
  6. Step 6: Final answer
    x = 686.25

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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.