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Finding the Fourth Proportional to 1,308.32, 1,962.48 and 539.36

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Solution

The fourth proportional to 1,308.32, 1,962.48 and 539.36 is: 809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.32 : 1,962.48 = 539.36 : x
  2. Step 2: Convert to fraction form
    1,308.32/1,962.48 = 539.36/x
  3. Step 3: Cross multiply
    1,308.32x = 1,962.48 × 539.36
  4. Step 4: Simplify right side
    1,308.32x = 1,058,483.21
  5. Step 5: Solve for x
    x = 1,058,483.21/1,308.32
  6. Step 6: Final answer
    x = 809.04

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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.