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Finding the Fourth Proportional to 1,308.70, 1,962.84 and 486.70

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Solution

The fourth proportional to 1,308.70, 1,962.84 and 486.70 is: 729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.70 : 1,962.84 = 486.70 : x
  2. Step 2: Convert to fraction form
    1,308.70/1,962.84 = 486.70/x
  3. Step 3: Cross multiply
    1,308.70x = 1,962.84 × 486.70
  4. Step 4: Simplify right side
    1,308.70x = 955,314.23
  5. Step 5: Solve for x
    x = 955,314.23/1,308.70
  6. Step 6: Final answer
    x = 729.97

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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.