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Finding the Fourth Proportional to 904.41, 1,248.89 and 696.65

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Solution

The fourth proportional to 904.41, 1,248.89 and 696.65 is: 961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.41 : 1,248.89 = 696.65 : x
  2. Step 2: Convert to fraction form
    904.41/1,248.89 = 696.65/x
  3. Step 3: Cross multiply
    904.41x = 1,248.89 × 696.65
  4. Step 4: Simplify right side
    904.41x = 870,029.49
  5. Step 5: Solve for x
    x = 870,029.49/904.41
  6. Step 6: Final answer
    x = 961.99

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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.