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Finding the Fourth Proportional to 693.98, 957.86 and 457.97

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Solution

The fourth proportional to 693.98, 957.86 and 457.97 is: 632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.98 : 957.86 = 457.97 : x
  2. Step 2: Convert to fraction form
    693.98/957.86 = 457.97/x
  3. Step 3: Cross multiply
    693.98x = 957.86 × 457.97
  4. Step 4: Simplify right side
    693.98x = 438,671.14
  5. Step 5: Solve for x
    x = 438,671.14/693.98
  6. Step 6: Final answer
    x = 632.11

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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.