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Finding the Fourth Proportional to 900.98, 1,243.25 and 665.05

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Solution

The fourth proportional to 900.98, 1,243.25 and 665.05 is: 917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.98 : 1,243.25 = 665.05 : x
  2. Step 2: Convert to fraction form
    900.98/1,243.25 = 665.05/x
  3. Step 3: Cross multiply
    900.98x = 1,243.25 × 665.05
  4. Step 4: Simplify right side
    900.98x = 826,823.41
  5. Step 5: Solve for x
    x = 826,823.41/900.98
  6. Step 6: Final answer
    x = 917.70

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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.