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Finding the Fourth Proportional to 1,103.64, 1,656.70 and 454.84

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Solution

The fourth proportional to 1,103.64, 1,656.70 and 454.84 is: 682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.64 : 1,656.70 = 454.84 : x
  2. Step 2: Convert to fraction form
    1,103.64/1,656.70 = 454.84/x
  3. Step 3: Cross multiply
    1,103.64x = 1,656.70 × 454.84
  4. Step 4: Simplify right side
    1,103.64x = 753,533.43
  5. Step 5: Solve for x
    x = 753,533.43/1,103.64
  6. Step 6: Final answer
    x = 682.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.