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Finding the Fourth Proportional to 1,354.78, 2,032.14 and 430.39

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Solution

The fourth proportional to 1,354.78, 2,032.14 and 430.39 is: 645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.78 : 2,032.14 = 430.39 : x
  2. Step 2: Convert to fraction form
    1,354.78/2,032.14 = 430.39/x
  3. Step 3: Cross multiply
    1,354.78x = 2,032.14 × 430.39
  4. Step 4: Simplify right side
    1,354.78x = 874,608.75
  5. Step 5: Solve for x
    x = 874,608.75/1,354.78
  6. Step 6: Final answer
    x = 645.57

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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.