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Finding the Fourth Proportional to 1,108.79, 1,664.21 and 561.35

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Solution

The fourth proportional to 1,108.79, 1,664.21 and 561.35 is: 842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.79 : 1,664.21 = 561.35 : x
  2. Step 2: Convert to fraction form
    1,108.79/1,664.21 = 561.35/x
  3. Step 3: Cross multiply
    1,108.79x = 1,664.21 × 561.35
  4. Step 4: Simplify right side
    1,108.79x = 934,201.48
  5. Step 5: Solve for x
    x = 934,201.48/1,108.79
  6. Step 6: Final answer
    x = 842.55

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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.