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Finding the Fourth Proportional to 1,152.83, 1,724.72 and 890.84

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Solution

The fourth proportional to 1,152.83, 1,724.72 and 890.84 is: 1,332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.83 : 1,724.72 = 890.84 : x
  2. Step 2: Convert to fraction form
    1,152.83/1,724.72 = 890.84/x
  3. Step 3: Cross multiply
    1,152.83x = 1,724.72 × 890.84
  4. Step 4: Simplify right side
    1,152.83x = 1,536,436.49
  5. Step 5: Solve for x
    x = 1,536,436.49/1,152.83
  6. Step 6: Final answer
    x = 1,332.76

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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.