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Finding the Fourth Proportional to 1,105.15, 1,657.18 and 643.09

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Solution

The fourth proportional to 1,105.15, 1,657.18 and 643.09 is: 964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.15 : 1,657.18 = 643.09 : x
  2. Step 2: Convert to fraction form
    1,105.15/1,657.18 = 643.09/x
  3. Step 3: Cross multiply
    1,105.15x = 1,657.18 × 643.09
  4. Step 4: Simplify right side
    1,105.15x = 1,065,715.89
  5. Step 5: Solve for x
    x = 1,065,715.89/1,105.15
  6. Step 6: Final answer
    x = 964.32

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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.