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Finding the Fourth Proportional to 1,407, 2,110.14 and 830.28

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Solution

The fourth proportional to 1,407, 2,110.14 and 830.28 is: 1,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407 : 2,110.14 = 830.28 : x
  2. Step 2: Convert to fraction form
    1,407/2,110.14 = 830.28/x
  3. Step 3: Cross multiply
    1,407x = 2,110.14 × 830.28
  4. Step 4: Simplify right side
    1,407x = 1,752,007.04
  5. Step 5: Solve for x
    x = 1,752,007.04/1,407
  6. Step 6: Final answer
    x = 1,245.21

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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.