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Finding the Fourth Proportional to 1,107.04, 1,527.71 and 609.72

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Solution

The fourth proportional to 1,107.04, 1,527.71 and 609.72 is: 841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.04 : 1,527.71 = 609.72 : x
  2. Step 2: Convert to fraction form
    1,107.04/1,527.71 = 609.72/x
  3. Step 3: Cross multiply
    1,107.04x = 1,527.71 × 609.72
  4. Step 4: Simplify right side
    1,107.04x = 931,476.87
  5. Step 5: Solve for x
    x = 931,476.87/1,107.04
  6. Step 6: Final answer
    x = 841.41

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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.