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Finding the Fourth Proportional to 1,308.26, 1,962.46 and 528.38

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Solution

The fourth proportional to 1,308.26, 1,962.46 and 528.38 is: 792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.26 : 1,962.46 = 528.38 : x
  2. Step 2: Convert to fraction form
    1,308.26/1,962.46 = 528.38/x
  3. Step 3: Cross multiply
    1,308.26x = 1,962.46 × 528.38
  4. Step 4: Simplify right side
    1,308.26x = 1,036,924.61
  5. Step 5: Solve for x
    x = 1,036,924.61/1,308.26
  6. Step 6: Final answer
    x = 792.60

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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.