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Finding the Fourth Proportional to 1,308.59, 1,962.66 and 486.80

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Solution

The fourth proportional to 1,308.59, 1,962.66 and 486.80 is: 730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.59 : 1,962.66 = 486.80 : x
  2. Step 2: Convert to fraction form
    1,308.59/1,962.66 = 486.80/x
  3. Step 3: Cross multiply
    1,308.59x = 1,962.66 × 486.80
  4. Step 4: Simplify right side
    1,308.59x = 955,422.89
  5. Step 5: Solve for x
    x = 955,422.89/1,308.59
  6. Step 6: Final answer
    x = 730.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.