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Finding the Fourth Proportional to 1,308.78, 1,962.57 and 486.45

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Solution

The fourth proportional to 1,308.78, 1,962.57 and 486.45 is: 729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.78 : 1,962.57 = 486.45 : x
  2. Step 2: Convert to fraction form
    1,308.78/1,962.57 = 486.45/x
  3. Step 3: Cross multiply
    1,308.78x = 1,962.57 × 486.45
  4. Step 4: Simplify right side
    1,308.78x = 954,692.18
  5. Step 5: Solve for x
    x = 954,692.18/1,308.78
  6. Step 6: Final answer
    x = 729.45

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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.