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Finding the Fourth Proportional to 1,402.05, 2,101.73 and 524.31

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Solution

The fourth proportional to 1,402.05, 2,101.73 and 524.31 is: 785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.05 : 2,101.73 = 524.31 : x
  2. Step 2: Convert to fraction form
    1,402.05/2,101.73 = 524.31/x
  3. Step 3: Cross multiply
    1,402.05x = 2,101.73 × 524.31
  4. Step 4: Simplify right side
    1,402.05x = 1,101,958.38
  5. Step 5: Solve for x
    x = 1,101,958.38/1,402.05
  6. Step 6: Final answer
    x = 785.96

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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.