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Finding the Fourth Proportional to 1,054.16, 1,454.69 and 611.99

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Solution

The fourth proportional to 1,054.16, 1,454.69 and 611.99 is: 844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.16 : 1,454.69 = 611.99 : x
  2. Step 2: Convert to fraction form
    1,054.16/1,454.69 = 611.99/x
  3. Step 3: Cross multiply
    1,054.16x = 1,454.69 × 611.99
  4. Step 4: Simplify right side
    1,054.16x = 890,260.90
  5. Step 5: Solve for x
    x = 890,260.90/1,054.16
  6. Step 6: Final answer
    x = 844.52

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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.