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Finding the Fourth Proportional to 1,308.52, 1,962.74 and 396.52

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Solution

The fourth proportional to 1,308.52, 1,962.74 and 396.52 is: 594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.52 : 1,962.74 = 396.52 : x
  2. Step 2: Convert to fraction form
    1,308.52/1,962.74 = 396.52/x
  3. Step 3: Cross multiply
    1,308.52x = 1,962.74 × 396.52
  4. Step 4: Simplify right side
    1,308.52x = 778,265.66
  5. Step 5: Solve for x
    x = 778,265.66/1,308.52
  6. Step 6: Final answer
    x = 594.77

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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.