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Finding the Fourth Proportional to 1,230.20, 1,695.90 and 880.28

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Solution

The fourth proportional to 1,230.20, 1,695.90 and 880.28 is: 1,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.20 : 1,695.90 = 880.28 : x
  2. Step 2: Convert to fraction form
    1,230.20/1,695.90 = 880.28/x
  3. Step 3: Cross multiply
    1,230.20x = 1,695.90 × 880.28
  4. Step 4: Simplify right side
    1,230.20x = 1,492,866.85
  5. Step 5: Solve for x
    x = 1,492,866.85/1,230.20
  6. Step 6: Final answer
    x = 1,213.52

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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.