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Finding the Fourth Proportional to 1,107.30, 1,528.04 and 609.94

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Solution

The fourth proportional to 1,107.30, 1,528.04 and 609.94 is: 841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.30 : 1,528.04 = 609.94 : x
  2. Step 2: Convert to fraction form
    1,107.30/1,528.04 = 609.94/x
  3. Step 3: Cross multiply
    1,107.30x = 1,528.04 × 609.94
  4. Step 4: Simplify right side
    1,107.30x = 932,012.72
  5. Step 5: Solve for x
    x = 932,012.72/1,107.30
  6. Step 6: Final answer
    x = 841.70

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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.