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Finding the Fourth Proportional to 1,528.73, 2,109.62 and 830.11

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Solution

The fourth proportional to 1,528.73, 2,109.62 and 830.11 is: 1,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.73 : 2,109.62 = 830.11 : x
  2. Step 2: Convert to fraction form
    1,528.73/2,109.62 = 830.11/x
  3. Step 3: Cross multiply
    1,528.73x = 2,109.62 × 830.11
  4. Step 4: Simplify right side
    1,528.73x = 1,751,201.96
  5. Step 5: Solve for x
    x = 1,751,201.96/1,528.73
  6. Step 6: Final answer
    x = 1,145.53

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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.