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Finding the Fourth Proportional to 1,214.58, 1,817.40 and 888.14

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Solution

The fourth proportional to 1,214.58, 1,817.40 and 888.14 is: 1,328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.58 : 1,817.40 = 888.14 : x
  2. Step 2: Convert to fraction form
    1,214.58/1,817.40 = 888.14/x
  3. Step 3: Cross multiply
    1,214.58x = 1,817.40 × 888.14
  4. Step 4: Simplify right side
    1,214.58x = 1,614,105.64
  5. Step 5: Solve for x
    x = 1,614,105.64/1,214.58
  6. Step 6: Final answer
    x = 1,328.94

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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.