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Finding the Fourth Proportional to 1,106.75, 1,527.35 and 609.44

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Solution

The fourth proportional to 1,106.75, 1,527.35 and 609.44 is: 841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.75 : 1,527.35 = 609.44 : x
  2. Step 2: Convert to fraction form
    1,106.75/1,527.35 = 609.44/x
  3. Step 3: Cross multiply
    1,106.75x = 1,527.35 × 609.44
  4. Step 4: Simplify right side
    1,106.75x = 930,817.50
  5. Step 5: Solve for x
    x = 930,817.50/1,106.75
  6. Step 6: Final answer
    x = 841.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.