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Finding the Fourth Proportional to 949.90, 1,308.78 and 830.98

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Solution

The fourth proportional to 949.90, 1,308.78 and 830.98 is: 1,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.90 : 1,308.78 = 830.98 : x
  2. Step 2: Convert to fraction form
    949.90/1,308.78 = 830.98/x
  3. Step 3: Cross multiply
    949.90x = 1,308.78 × 830.98
  4. Step 4: Simplify right side
    949.90x = 1,087,570.00
  5. Step 5: Solve for x
    x = 1,087,570.00/949.90
  6. Step 6: Final answer
    x = 1,144.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.