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Finding the Fourth Proportional to 1,402.31, 2,103.45 and 579.68

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Solution

The fourth proportional to 1,402.31, 2,103.45 and 579.68 is: 869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.31 : 2,103.45 = 579.68 : x
  2. Step 2: Convert to fraction form
    1,402.31/2,103.45 = 579.68/x
  3. Step 3: Cross multiply
    1,402.31x = 2,103.45 × 579.68
  4. Step 4: Simplify right side
    1,402.31x = 1,219,317.38
  5. Step 5: Solve for x
    x = 1,219,317.38/1,402.31
  6. Step 6: Final answer
    x = 869.51

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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.