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Finding the Fourth Proportional to 1,308.48, 1,963.52 and 538.88

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Solution

The fourth proportional to 1,308.48, 1,963.52 and 538.88 is: 808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.48 : 1,963.52 = 538.88 : x
  2. Step 2: Convert to fraction form
    1,308.48/1,963.52 = 538.88/x
  3. Step 3: Cross multiply
    1,308.48x = 1,963.52 × 538.88
  4. Step 4: Simplify right side
    1,308.48x = 1,058,101.66
  5. Step 5: Solve for x
    x = 1,058,101.66/1,308.48
  6. Step 6: Final answer
    x = 808.65

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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.