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Finding the Fourth Proportional to 808.96, 1,117.92 and 653.44

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Solution

The fourth proportional to 808.96, 1,117.92 and 653.44 is: 903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.96 : 1,117.92 = 653.44 : x
  2. Step 2: Convert to fraction form
    808.96/1,117.92 = 653.44/x
  3. Step 3: Cross multiply
    808.96x = 1,117.92 × 653.44
  4. Step 4: Simplify right side
    808.96x = 730,493.64
  5. Step 5: Solve for x
    x = 730,493.64/808.96
  6. Step 6: Final answer
    x = 903.00

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