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Finding the Fourth Proportional to 1,105.98, 1,656 and 584.90

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Solution

The fourth proportional to 1,105.98, 1,656 and 584.90 is: 875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.98 : 1,656 = 584.90 : x
  2. Step 2: Convert to fraction form
    1,105.98/1,656 = 584.90/x
  3. Step 3: Cross multiply
    1,105.98x = 1,656 × 584.90
  4. Step 4: Simplify right side
    1,105.98x = 968,594.40
  5. Step 5: Solve for x
    x = 968,594.40/1,105.98
  6. Step 6: Final answer
    x = 875.78

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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.