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Finding the Fourth Proportional to 1,091.95, 1,637.88 and 442.68

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Solution

The fourth proportional to 1,091.95, 1,637.88 and 442.68 is: 664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.95 : 1,637.88 = 442.68 : x
  2. Step 2: Convert to fraction form
    1,091.95/1,637.88 = 442.68/x
  3. Step 3: Cross multiply
    1,091.95x = 1,637.88 × 442.68
  4. Step 4: Simplify right side
    1,091.95x = 725,056.72
  5. Step 5: Solve for x
    x = 725,056.72/1,091.95
  6. Step 6: Final answer
    x = 664.00

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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.