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Finding the Fourth Proportional to 1,528.80, 2,293.05 and 604.12

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Solution

The fourth proportional to 1,528.80, 2,293.05 and 604.12 is: 906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.80 : 2,293.05 = 604.12 : x
  2. Step 2: Convert to fraction form
    1,528.80/2,293.05 = 604.12/x
  3. Step 3: Cross multiply
    1,528.80x = 2,293.05 × 604.12
  4. Step 4: Simplify right side
    1,528.80x = 1,385,277.37
  5. Step 5: Solve for x
    x = 1,385,277.37/1,528.80
  6. Step 6: Final answer
    x = 906.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.