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Finding the Fourth Proportional to 1,308.00, 1,962.07 and 486.05

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Solution

The fourth proportional to 1,308.00, 1,962.07 and 486.05 is: 729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.00 : 1,962.07 = 486.05 : x
  2. Step 2: Convert to fraction form
    1,308.00/1,962.07 = 486.05/x
  3. Step 3: Cross multiply
    1,308.00x = 1,962.07 × 486.05
  4. Step 4: Simplify right side
    1,308.00x = 953,666.87
  5. Step 5: Solve for x
    x = 953,666.87/1,308.00
  6. Step 6: Final answer
    x = 729.10

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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.