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Finding the Fourth Proportional to 1,181.25, 1,630.17 and 788.00

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Solution

The fourth proportional to 1,181.25, 1,630.17 and 788.00 is: 1,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.25 : 1,630.17 = 788.00 : x
  2. Step 2: Convert to fraction form
    1,181.25/1,630.17 = 788.00/x
  3. Step 3: Cross multiply
    1,181.25x = 1,630.17 × 788.00
  4. Step 4: Simplify right side
    1,181.25x = 1,284,565.81
  5. Step 5: Solve for x
    x = 1,284,565.81/1,181.25
  6. Step 6: Final answer
    x = 1,087.46

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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.