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Finding the Fourth Proportional to 1,124.55, 1,685.82 and 604.83

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Solution

The fourth proportional to 1,124.55, 1,685.82 and 604.83 is: 906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.55 : 1,685.82 = 604.83 : x
  2. Step 2: Convert to fraction form
    1,124.55/1,685.82 = 604.83/x
  3. Step 3: Cross multiply
    1,124.55x = 1,685.82 × 604.83
  4. Step 4: Simplify right side
    1,124.55x = 1,019,626.08
  5. Step 5: Solve for x
    x = 1,019,626.08/1,124.55
  6. Step 6: Final answer
    x = 906.70

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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.