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Finding the Fourth Proportional to 1,108.22, 1,661.63 and 587.89

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Solution

The fourth proportional to 1,108.22, 1,661.63 and 587.89 is: 881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.22 : 1,661.63 = 587.89 : x
  2. Step 2: Convert to fraction form
    1,108.22/1,661.63 = 587.89/x
  3. Step 3: Cross multiply
    1,108.22x = 1,661.63 × 587.89
  4. Step 4: Simplify right side
    1,108.22x = 976,848.57
  5. Step 5: Solve for x
    x = 976,848.57/1,108.22
  6. Step 6: Final answer
    x = 881.46

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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.