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Finding the Fourth Proportional to 1,106.27, 1,659.55 and 375.65

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Solution

The fourth proportional to 1,106.27, 1,659.55 and 375.65 is: 563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.27 : 1,659.55 = 375.65 : x
  2. Step 2: Convert to fraction form
    1,106.27/1,659.55 = 375.65/x
  3. Step 3: Cross multiply
    1,106.27x = 1,659.55 × 375.65
  4. Step 4: Simplify right side
    1,106.27x = 623,409.96
  5. Step 5: Solve for x
    x = 623,409.96/1,106.27
  6. Step 6: Final answer
    x = 563.52

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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.