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Finding the Fourth Proportional to 1,188.60, 1,638.73 and 814.91

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Solution

The fourth proportional to 1,188.60, 1,638.73 and 814.91 is: 1,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.60 : 1,638.73 = 814.91 : x
  2. Step 2: Convert to fraction form
    1,188.60/1,638.73 = 814.91/x
  3. Step 3: Cross multiply
    1,188.60x = 1,638.73 × 814.91
  4. Step 4: Simplify right side
    1,188.60x = 1,335,419.51
  5. Step 5: Solve for x
    x = 1,335,419.51/1,188.60
  6. Step 6: Final answer
    x = 1,123.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.