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Finding the Fourth Proportional to 1,091.35, 1,637.48 and 603.83

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Solution

The fourth proportional to 1,091.35, 1,637.48 and 603.83 is: 906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.35 : 1,637.48 = 603.83 : x
  2. Step 2: Convert to fraction form
    1,091.35/1,637.48 = 603.83/x
  3. Step 3: Cross multiply
    1,091.35x = 1,637.48 × 603.83
  4. Step 4: Simplify right side
    1,091.35x = 988,765.15
  5. Step 5: Solve for x
    x = 988,765.15/1,091.35
  6. Step 6: Final answer
    x = 906.00

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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.