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Finding the Fourth Proportional to 1,091.70, 1,637.08 and 398.14

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Solution

The fourth proportional to 1,091.70, 1,637.08 and 398.14 is: 597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.70 : 1,637.08 = 398.14 : x
  2. Step 2: Convert to fraction form
    1,091.70/1,637.08 = 398.14/x
  3. Step 3: Cross multiply
    1,091.70x = 1,637.08 × 398.14
  4. Step 4: Simplify right side
    1,091.70x = 651,781.94
  5. Step 5: Solve for x
    x = 651,781.94/1,091.70
  6. Step 6: Final answer
    x = 597.03

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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.