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Finding the Fourth Proportional to 909.58, 1,363.56 and 665.78

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Solution

The fourth proportional to 909.58, 1,363.56 and 665.78 is: 998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.58 : 1,363.56 = 665.78 : x
  2. Step 2: Convert to fraction form
    909.58/1,363.56 = 665.78/x
  3. Step 3: Cross multiply
    909.58x = 1,363.56 × 665.78
  4. Step 4: Simplify right side
    909.58x = 907,830.98
  5. Step 5: Solve for x
    x = 907,830.98/909.58
  6. Step 6: Final answer
    x = 998.08

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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.