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Finding the Fourth Proportional to 1,186.92, 1,637.92 and 663.05

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Solution

The fourth proportional to 1,186.92, 1,637.92 and 663.05 is: 915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.92 : 1,637.92 = 663.05 : x
  2. Step 2: Convert to fraction form
    1,186.92/1,637.92 = 663.05/x
  3. Step 3: Cross multiply
    1,186.92x = 1,637.92 × 663.05
  4. Step 4: Simplify right side
    1,186.92x = 1,086,027.78
  5. Step 5: Solve for x
    x = 1,086,027.78/1,186.92
  6. Step 6: Final answer
    x = 915.00

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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.