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Finding the Fourth Proportional to 1,184.74, 1,635.02 and 687.54

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Solution

The fourth proportional to 1,184.74, 1,635.02 and 687.54 is: 948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.74 : 1,635.02 = 687.54 : x
  2. Step 2: Convert to fraction form
    1,184.74/1,635.02 = 687.54/x
  3. Step 3: Cross multiply
    1,184.74x = 1,635.02 × 687.54
  4. Step 4: Simplify right side
    1,184.74x = 1,124,141.65
  5. Step 5: Solve for x
    x = 1,124,141.65/1,184.74
  6. Step 6: Final answer
    x = 948.85

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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.