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Finding the Fourth Proportional to 1,184.45, 1,634.66 and 687.06

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Solution

The fourth proportional to 1,184.45, 1,634.66 and 687.06 is: 948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.45 : 1,634.66 = 687.06 : x
  2. Step 2: Convert to fraction form
    1,184.45/1,634.66 = 687.06/x
  3. Step 3: Cross multiply
    1,184.45x = 1,634.66 × 687.06
  4. Step 4: Simplify right side
    1,184.45x = 1,123,102.51
  5. Step 5: Solve for x
    x = 1,123,102.51/1,184.45
  6. Step 6: Final answer
    x = 948.20

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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.