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Finding the Fourth Proportional to 918.25, 1,376.60 and 456.26

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Solution

The fourth proportional to 918.25, 1,376.60 and 456.26 is: 684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.25 : 1,376.60 = 456.26 : x
  2. Step 2: Convert to fraction form
    918.25/1,376.60 = 456.26/x
  3. Step 3: Cross multiply
    918.25x = 1,376.60 × 456.26
  4. Step 4: Simplify right side
    918.25x = 628,078.35
  5. Step 5: Solve for x
    x = 628,078.35/918.25
  6. Step 6: Final answer
    x = 684.00

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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.