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Finding the Fourth Proportional to 1,355.43, 2,032.74 and 430.82

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Solution

The fourth proportional to 1,355.43, 2,032.74 and 430.82 is: 646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.43 : 2,032.74 = 430.82 : x
  2. Step 2: Convert to fraction form
    1,355.43/2,032.74 = 430.82/x
  3. Step 3: Cross multiply
    1,355.43x = 2,032.74 × 430.82
  4. Step 4: Simplify right side
    1,355.43x = 875,734.88
  5. Step 5: Solve for x
    x = 875,734.88/1,355.43
  6. Step 6: Final answer
    x = 646.09

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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.