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Finding the Fourth Proportional to 1,354.71, 2,032.26 and 477.33

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Solution

The fourth proportional to 1,354.71, 2,032.26 and 477.33 is: 716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.71 : 2,032.26 = 477.33 : x
  2. Step 2: Convert to fraction form
    1,354.71/2,032.26 = 477.33/x
  3. Step 3: Cross multiply
    1,354.71x = 2,032.26 × 477.33
  4. Step 4: Simplify right side
    1,354.71x = 970,058.67
  5. Step 5: Solve for x
    x = 970,058.67/1,354.71
  6. Step 6: Final answer
    x = 716.06

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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.