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Finding the Fourth Proportional to 1,528.57, 2,109.42 and 829.93

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Solution

The fourth proportional to 1,528.57, 2,109.42 and 829.93 is: 1,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.57 : 2,109.42 = 829.93 : x
  2. Step 2: Convert to fraction form
    1,528.57/2,109.42 = 829.93/x
  3. Step 3: Cross multiply
    1,528.57x = 2,109.42 × 829.93
  4. Step 4: Simplify right side
    1,528.57x = 1,750,670.94
  5. Step 5: Solve for x
    x = 1,750,670.94/1,528.57
  6. Step 6: Final answer
    x = 1,145.30

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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.