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Finding the Fourth Proportional to 694.06, 957.95 and 473.09

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Solution

The fourth proportional to 694.06, 957.95 and 473.09 is: 652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.06 : 957.95 = 473.09 : x
  2. Step 2: Convert to fraction form
    694.06/957.95 = 473.09/x
  3. Step 3: Cross multiply
    694.06x = 957.95 × 473.09
  4. Step 4: Simplify right side
    694.06x = 453,196.57
  5. Step 5: Solve for x
    x = 453,196.57/694.06
  6. Step 6: Final answer
    x = 652.96

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Why These Related Problems?

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