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Finding the Fourth Proportional to 1,244.57, 1,867.30 and 586.64

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Solution

The fourth proportional to 1,244.57, 1,867.30 and 586.64 is: 880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.57 : 1,867.30 = 586.64 : x
  2. Step 2: Convert to fraction form
    1,244.57/1,867.30 = 586.64/x
  3. Step 3: Cross multiply
    1,244.57x = 1,867.30 × 586.64
  4. Step 4: Simplify right side
    1,244.57x = 1,095,439.37
  5. Step 5: Solve for x
    x = 1,095,439.37/1,244.57
  6. Step 6: Final answer
    x = 880.18

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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.