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Finding the Fourth Proportional to 1,105.20, 1,653.84 and 714.96

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Solution

The fourth proportional to 1,105.20, 1,653.84 and 714.96 is: 1,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.20 : 1,653.84 = 714.96 : x
  2. Step 2: Convert to fraction form
    1,105.20/1,653.84 = 714.96/x
  3. Step 3: Cross multiply
    1,105.20x = 1,653.84 × 714.96
  4. Step 4: Simplify right side
    1,105.20x = 1,182,429.45
  5. Step 5: Solve for x
    x = 1,182,429.45/1,105.20
  6. Step 6: Final answer
    x = 1,069.88

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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.