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Finding the Fourth Proportional to 1,246.88, 1,869.30 and 588.44

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Solution

The fourth proportional to 1,246.88, 1,869.30 and 588.44 is: 882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.88 : 1,869.30 = 588.44 : x
  2. Step 2: Convert to fraction form
    1,246.88/1,869.30 = 588.44/x
  3. Step 3: Cross multiply
    1,246.88x = 1,869.30 × 588.44
  4. Step 4: Simplify right side
    1,246.88x = 1,099,970.89
  5. Step 5: Solve for x
    x = 1,099,970.89/1,246.88
  6. Step 6: Final answer
    x = 882.18

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Why These Related Problems?

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