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Finding the Fourth Proportional to 1,184.64, 1,635.12 and 687.23

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Solution

The fourth proportional to 1,184.64, 1,635.12 and 687.23 is: 948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.64 : 1,635.12 = 687.23 : x
  2. Step 2: Convert to fraction form
    1,184.64/1,635.12 = 687.23/x
  3. Step 3: Cross multiply
    1,184.64x = 1,635.12 × 687.23
  4. Step 4: Simplify right side
    1,184.64x = 1,123,695.34
  5. Step 5: Solve for x
    x = 1,123,695.34/1,184.64
  6. Step 6: Final answer
    x = 948.55

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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.