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Finding the Fourth Proportional to 1,104.16, 1,657.60 and 617.60

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Solution

The fourth proportional to 1,104.16, 1,657.60 and 617.60 is: 927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.16 : 1,657.60 = 617.60 : x
  2. Step 2: Convert to fraction form
    1,104.16/1,657.60 = 617.60/x
  3. Step 3: Cross multiply
    1,104.16x = 1,657.60 × 617.60
  4. Step 4: Simplify right side
    1,104.16x = 1,023,733.76
  5. Step 5: Solve for x
    x = 1,023,733.76/1,104.16
  6. Step 6: Final answer
    x = 927.16

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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.