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Finding the Fourth Proportional to 1,170.05, 1,753.85 and 880.88

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Solution

The fourth proportional to 1,170.05, 1,753.85 and 880.88 is: 1,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.05 : 1,753.85 = 880.88 : x
  2. Step 2: Convert to fraction form
    1,170.05/1,753.85 = 880.88/x
  3. Step 3: Cross multiply
    1,170.05x = 1,753.85 × 880.88
  4. Step 4: Simplify right side
    1,170.05x = 1,544,924.82
  5. Step 5: Solve for x
    x = 1,544,924.82/1,170.05
  6. Step 6: Final answer
    x = 1,320.40

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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.