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Finding the Fourth Proportional to 909.83, 1,360.56 and 676.01

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Solution

The fourth proportional to 909.83, 1,360.56 and 676.01 is: 1,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.83 : 1,360.56 = 676.01 : x
  2. Step 2: Convert to fraction form
    909.83/1,360.56 = 676.01/x
  3. Step 3: Cross multiply
    909.83x = 1,360.56 × 676.01
  4. Step 4: Simplify right side
    909.83x = 919,752.17
  5. Step 5: Solve for x
    x = 919,752.17/909.83
  6. Step 6: Final answer
    x = 1,010.91

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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.