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Finding the Fourth Proportional to 1,106.63, 1,527.11 and 609.27

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Solution

The fourth proportional to 1,106.63, 1,527.11 and 609.27 is: 840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.63 : 1,527.11 = 609.27 : x
  2. Step 2: Convert to fraction form
    1,106.63/1,527.11 = 609.27/x
  3. Step 3: Cross multiply
    1,106.63x = 1,527.11 × 609.27
  4. Step 4: Simplify right side
    1,106.63x = 930,419.26
  5. Step 5: Solve for x
    x = 930,419.26/1,106.63
  6. Step 6: Final answer
    x = 840.77

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Why These Related Problems?

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