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Finding the Fourth Proportional to 1,105.06, 1,657.38 and 557.40

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Solution

The fourth proportional to 1,105.06, 1,657.38 and 557.40 is: 835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.06 : 1,657.38 = 557.40 : x
  2. Step 2: Convert to fraction form
    1,105.06/1,657.38 = 557.40/x
  3. Step 3: Cross multiply
    1,105.06x = 1,657.38 × 557.40
  4. Step 4: Simplify right side
    1,105.06x = 923,823.61
  5. Step 5: Solve for x
    x = 923,823.61/1,105.06
  6. Step 6: Final answer
    x = 835.99

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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.