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Finding the Fourth Proportional to 1,308.74, 1,961.88 and 442.45

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Solution

The fourth proportional to 1,308.74, 1,961.88 and 442.45 is: 663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.74 : 1,961.88 = 442.45 : x
  2. Step 2: Convert to fraction form
    1,308.74/1,961.88 = 442.45/x
  3. Step 3: Cross multiply
    1,308.74x = 1,961.88 × 442.45
  4. Step 4: Simplify right side
    1,308.74x = 868,024.00
  5. Step 5: Solve for x
    x = 868,024.00/1,308.74
  6. Step 6: Final answer
    x = 663.25

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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.