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Finding the Fourth Proportional to 1,308.25, 1,962.73 and 430.92

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Solution

The fourth proportional to 1,308.25, 1,962.73 and 430.92 is: 646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.25 : 1,962.73 = 430.92 : x
  2. Step 2: Convert to fraction form
    1,308.25/1,962.73 = 430.92/x
  3. Step 3: Cross multiply
    1,308.25x = 1,962.73 × 430.92
  4. Step 4: Simplify right side
    1,308.25x = 845,780.15
  5. Step 5: Solve for x
    x = 845,780.15/1,308.25
  6. Step 6: Final answer
    x = 646.50

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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.