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Finding the Fourth Proportional to 1,078.00, 1,617.29 and 429.19

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Solution

The fourth proportional to 1,078.00, 1,617.29 and 429.19 is: 643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.00 : 1,617.29 = 429.19 : x
  2. Step 2: Convert to fraction form
    1,078.00/1,617.29 = 429.19/x
  3. Step 3: Cross multiply
    1,078.00x = 1,617.29 × 429.19
  4. Step 4: Simplify right side
    1,078.00x = 694,116.61
  5. Step 5: Solve for x
    x = 694,116.61/1,078.00
  6. Step 6: Final answer
    x = 643.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.