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Finding the Fourth Proportional to 1,107.09, 1,527.80 and 609.80

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Solution

The fourth proportional to 1,107.09, 1,527.80 and 609.80 is: 841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.09 : 1,527.80 = 609.80 : x
  2. Step 2: Convert to fraction form
    1,107.09/1,527.80 = 609.80/x
  3. Step 3: Cross multiply
    1,107.09x = 1,527.80 × 609.80
  4. Step 4: Simplify right side
    1,107.09x = 931,641.75
  5. Step 5: Solve for x
    x = 931,641.75/1,107.09
  6. Step 6: Final answer
    x = 841.52

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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.